Question

Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Check all that apply.
2(x2 + 6x + 9) = 3 + 18
2(x2 + 6x) = –3
2(x2 + =6x) = 3
x + 3 = 21/2
2(x2 + 6x + 9) = –3 + 9
(x + 3)2 = 6/2

Answer 1

the first, third, and fourth options are correct, i just took the edginuity test.

Answers

• 2(x2 + 6x + 9) = 3 + 18

• 2(x2 + 6x) = –3

• 2(x2 + 6x) = 3

• x + 3 =  

• 2(x2 + 6x + 9) = –3 + 9

• (x + 3)2 =

Answer 2

The steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.

Solution to the quadratic equation

The solution to the quadratic equation is determined as follows;

2x² + 12x - 3 = 0

2x² + 12x = 3

divide through by 2

x² + 6x = ³/₂

take half of coefficient of x, square it and add it both sides of the equation

(x + 3)² = ³/₂ + 3²

x² + 6x + 9 = 9 + ³/₂

2(x² + 6x + 9) = 18 + 3

Thus, the steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.

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