Question

8x² + 16x - 62 = -5, solve by completing the square. PLEASE HELP IVE BEEN STRUGGLING FOR HOURS

Answer 1

x=-1+
`(1)/(4)`
`√(130\\)` or x=-1+
`(-1)/(4)`
`√(130)`

Step by step:

Step 1: Subtract -5 from both sides.

8x2+16x−62−(−5)=−5−(−5)

8x2+16x−57=0

For this equation: a=8, b=16, c=-57

8x2+16x+−57=0

(plus-minus) = ±

Step 2: Use quadratic formula with a=8, b=16, c=-57.

x=
`(-b(plus-minus)√(x) b^2-4ac)/(2a)`

x=
`(-(16)(plus-minus)√((16)^2-4(8)(-57)) )/(2(8))`

x=
`(-16(plus-minus) √(2080) )/(16)`

ANSWER:

x=-1+
`(1)/(4)`
`√(130)` or x=-1+
`(-1)/(4)`
`√(130)`