Question

Solve the quadratic equation by completing the square.

x2+2x– 6=0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
Form:
0.01,
(x+D9 = 0
(x - 1)² = 1
X
5
?
Solution:
x =
x =

Answer 1

= --1 +√7

Explanation:

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

Answer 2

Explanation:

x² + 2x - 6 = 0

x² + 2x = 6

Find 2÷ 2 = 1. Find 1² = 1. Add 1 to both sides

x² + 2x + 1 = 6 +1

x² + 2*x * 1 + 1 = 7

(x + 1)² = 7

Solution:

x + 1 = √7

x + 1 = ±2.65

x = 2.65 -1 ;x = -2.65 - 1

x = 1.65 ; x = -3.65