Question

(4 + x)(5 - x) / (2+x)(7+x) = 1​

Answer 1

Answer:

(4 + x)(5 - x) / (2+x)(7+x) = 1

(4 + x)(5 - x) = (2+x)(7+x)

4(5 - x) +x(5 - x) = 2(7+x) +x(7+x)

20 - 4x + 5x - x^2 = 14 + 2x +7x +x^2

20 + x‌ -x^2 = 14 + 9x + x^2

20 + x‌ -x^2 = 14 + 9x + x^2

20 + x = 14 + 9x

20 - 14 = 9x - x

6 = 8x

x = 6/8

x = 3/4

Step-by-step explanation:

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Answer 2

( 4+x ) ( 5 - x )

_____________ = 1

( 2 + x ) ( 7 + x )

(4 + x ) ( 5 - x ) =( 2 + x ) ( 7 + x )

20-4x + 5x - x²

=== 14 - 2x + 7x - x²

x + 20 = 5x + 14

4x = 6

x = 6/4 = 3 / 2 = 1.5

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