Question

Solve 2x2 + 12x − 14 = 0 by completing the square.

Answer 1

Answer:

the solutions are 1 and -7

Step-by-step explanation:

first add 14 to both sides

2x²+12x=14

2(x²+6x)=14 now find half of 6x and square it, then add it to both sides

2(x²+6x+9)=14+18(9 was multiplied by 2)

no factor

2(x+3)²=32 divide both sides by 2

(x+3)²=16 square root both sides

x+3=+/- 4 subtract 3

x= 4-3=1

x= -4-3=-7