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3 years ago

Which equation is equivalent to the given equation? x^2+16x=22

Mathematics

1 answer:

Vaselesa [24]3 years ago

6 0

Answer: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

 +16x−22=0

2 Use the Quadratic Formula.

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

−16+2√

86

 ,

−16−2√

86

3 Simplify solutions.

x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√

86

 ,−8−√

86

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Answer:

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Step-by-step explanation:

The given question implies 5 permutation 2, i.e $_{5}$ $P_{2}$ .

But,

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So that for $_{5}$ $P_{2}$ , n = 5 and r = 2.

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