Which equation is equivalent to the given equation? x^2+16x=22 a. (x+8)^2=86
b. (x+8)^2=38
c. (x+16)^2= 278
d. (x+4)^2= 22

answer is a (x+8)^2=86

Step-by-step explanation:

x+8=±√

86

2 Break down the problem into these 2 equations.

x+8=\sqrt{86}x+8=√

86

x+8=-\sqrt{86}x+8=−√

86

3 Solve the 1st equation: x+8=\sqrt{86}x+8=√

86

.

x=\sqrt{86}-8x=√

86

−8

4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√

86

.

x=-\sqrt{86}-8x=−√

86

−8

5 Collect all solutions.

x=\sqrt{86}-8,-\sqrt{86}-8x=√

86

−8,−√

86

−8

x

2

+16x−22=0

2 Use the Quadratic Formula.

x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=

2

−16+2√

86

,

2

−16−2√

86

3 Simplify solutions.

x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√

86

,−8−√

86

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

5.25 ounces

step-by-step explanation:

divided 3/4 and 6