2 X by x minus 5 whole square + 5 into 2 X by x minus 5 minus 24 is equal to zero
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56
Answer:
Step-by-step explanation:{2x/(x - 5) }² + 10x/(x - 5) - 24 = 0
multiplying by (x - 5)² both sides
=> 4x² + 10x(x - 5) - 24(x - 5)² = 0
Dividing by 2 both sides
=> 2x² + 5x(x - 5) - 12(x² -10x + 25) = 0
=> 2x² + 5x² - 25x - 12x² + 120x - 300 =0
=> -5x² +95x - 300 =0
=> x² - 19x + 60 = 0
=> x² -4x - 15x + 60 = 0
=> x(x - 4) - 15(x - 4) =0
=> (x - 15)(x - 4) =0
=> x = 4 or 15
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Step-by-step explanation:
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