Factor 2 6x 9

Factor 2 6x 9 DEFAULT

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Solution for 12x^2+6x-9=0 equation:


Simplifying 12x2 + 6x + -9 = 0 Reorder the terms: -9 + 6x + 12x2 = 0 Solving -9 + 6x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + 2x + 4x2) = 0 Ignore the factor 3.

Subproblem 1

Set the factor '(-3 + 2x + 4x2)' equal to zero and attempt to solve: Simplifying -3 + 2x + 4x2 = 0 Solving -3 + 2x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. + x + x2 = 0 Move the constant term to the right: Add '' to each side of the equation. + x + + x2 = 0 + Reorder the terms: + + x + x2 = 0 + Combine like terms: + = + x + x2 = 0 + x + x2 = 0 + Combine like terms: 0 + = x + x2 = The x term is x. Take half its coefficient (). Square it () and add it to both sides. Add '' to each side of the equation. x + + x2 = + Reorder the terms: + x + x2 = + Combine like terms: + = + x + x2 = Factor a perfect square on the left side: (x + )(x + ) = Calculate the square root of the right side: Break this problem into two subproblems by setting (x + ) equal to and

Subproblem 1

x + = Simplifying x + = Reorder the terms: + x = Solving + x = Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '' to each side of the equation. + + x = + Combine like terms: + = + x = + x = + Combine like terms: + = x = Simplifying x =

Subproblem 2

x + = Simplifying x + = Reorder the terms: + x = Solving + x = Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '' to each side of the equation. + + x = + Combine like terms: + = + x = + x = + Combine like terms: + = x = Simplifying x =

Solution

The solution to the problem is based on the solutions from the subproblems. x = {, }

Solution

x = {, }

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Table of Contents

What is the factor of x2 6x 9?

Look: (x + 3)2 = x2 + 6x + 9, and (x – 3)2 = x2 – 6x + 9! Here 9 can be written as (−3)2, so the middle term is 2(−3)x = −6x. So when the sign of the middle term is negative, the trinomial may be factored as (a – b)2&#;.

Factors of −36Sum of the factors

What are the zeros of the polynomial x2 6x 9?

so the zero of the polynomial is 3.

How many solutions does x2 6x 9 0?

Solving xx+9 = 0 by Completing The Square . This quadratic equation has one solution only.

What is the factor of x2 6x 16?

That is, x 2 &#; 6x &#; 16 = (x + 2)(x &#; 8). The last step is to set each of these factors equal to zero and solve as shown&#;.Solving Using Factoring.

Factors of 16Sum
2 and -82 + (-8) = -6
-2 and 8-2 + 8 = 6
4 and -44 + (-4) = 0

What is the answer of x2 ?

Answer Expert Verified In the given problem: The solution for the quadractic equation of x²= is x= ±10, in quadractic equation it is possible to have two solutions. The standard form for that equation is x² &#; = 0, based from x² +0x = 0 (standard form).

Is 4x 2 6x 9 a perfect square?

Yes, 4&#;2 + 6x + 9 is a perfect square. (2x + 3)2.

How do you find the zeros of a quadratic polynomial?

Let&#;s understand the relationship between zeros and coefficients of a quadratic polynomial. If α and β are zeros of a quadratic polynomial, x2+bx+c=0 x 2 + b x + c = 0 , the sum of zeros is equal to the negative of b and the product of zeros is equal to the constant term c .

What are the factors of the 9 0?

Detailed Answer: The Greatest Common Factor (GCF) for 9 and 0, notation CGF(9,0), is 9. Explanation: The factors of 9 are 1,3,9; The factors of 0 are .

What are the factors of 2x 2 3x 54?

Step-by-step explanation: Therefore, the factors are x + 6 and 2x − 9.

What&#;s the perfect square rule?

In the case of a perfect square, the middle term is the first term multiplied by the last term, and then multiplied by 2. In other words, the perfect square trinomial formula is: a 2 ± a b + b 2 a^{2} \pm ab + b^{2} a2±ab+b2.

Is 16x 9 a perfect square?

In addition to factoring 16x^2+9, we will also verify that our answer is correct by calculating the product of the factors we found. Before we begin, note that 16 and 9 are both perfect squares.

What is the formula of quadratic polynomial?

Quadratic Polynomial Formula A quadratic polynomial is of the form p(x): ax2+bx+c, where a≠0. The quadratic formula to find the solution to a quadratic equation is given by: x=−b±√b2−4ac2a x = − b ± b 2 − 4 a c 2 a , in which, a is the coefficient of x2 and is also called the quadratic coefficient.

How do you factor 16&#;2 40x 25?

1 Answer

  1. Compare a2−2ab+b2 to 16&#;2−40x+
  2. Then, 2ab=2×4x×5=40x , as given in the expression.
  3. 16&#;2−40x+
  4. The factors are 4x−5,4x−5.

What is the HCF of 0 and 9?

The factors of 9 are 1, 3 and 9. The factors of 0 are 0 and 1. So, the Greatest Common Factor for these numbers is 1 because it divides all them without a remainder. Read more about Common Factors below.

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9 factor 2 6x

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69. Una factorización de la expresión X^2 - 6x + 9, es

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