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aksik [14]
3 years ago
11

Find the value of x A. 2 B. 4 C. 6 D. 8

Mathematics
2 answers:
nasty-shy [4]3 years ago
6 0

Hello from MrBillDoesMath!

Answer:

Choice B, 4


Discussion:

From the Pythagorean Theorem


x^2 + ( x-2)^2           =    ( sqrt(20) ) ^ 2     =>

x^2 + ( x^2 - 4x + 4) = 20                            => combine common terms

2x^2 -4x + 4 = 20                                        => divide both sides by 2

x^2 -2x + 2 = 10                                           => subtract 10 from both sides

x^2 -2x - 8 = 0                  => x^2 -2x - 8 = (x-4)(x+2)

(x-4)(x+2) = 0                    =>

x = 4, x = -2

The answer is Choice B, 4


Thank you,

MrB

tia_tia [17]3 years ago
3 0
The answer would be B.
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