Question

5. Which is the best first step to solve 5x+12x = 40 by completing the square?

A. Subtract 40 from both sides.

B. Divide all terms by 12.

C. Divide all terms by 5

D. Divide 12 by 2

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

To make the perfect square the first step is  Subtract 40 from both sides option (A) is correct.

What is a quadratic equation?

Any equation of the form $\rm ax^2+bx+c=0$  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

The complete question is:

Which is the best first step to solve 5x²+12x = 40 by completing the square?

• A. Subtract 40 from both sides.
• B. Divide all terms by 12.
• C. Divide all terms by 5
• D. Divide 12 by 2

We have a quadratic equation:

5x²+12x = 40

To make the perfect square:

First, subtract 40 from both sides.

5x²+12x - 40 = 40 - 40

5x²+12x - 40 = 0

Thus, to make the perfect square the first step is  Subtract 40 from both sides option (A) is correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

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