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MAVERICK [17]
4 years ago
9

If \sqrt{6x-9}=x

SAT
1 answer:
Tema [17]4 years ago
5 0

Answer:

x = 3

Explanation:

Given

\sqrt{(6x - 9)} = x

Required

Find x

\sqrt{(6x - 9)} = x

Take Square of both sides

6x - 9 = x\²

Convert to a quadratic equation

x\² - 6x + 9 = 0

Expand

x\² - 3x - 3x + 9 = 0

Factorize

x(x - 3) - 3(x - 3) = 0

(x - 3)(x - 3) = 0

(x - 3)\² = 0

Take square root of both sides

x - 3 = 0

Add 3 to both sides

x = 3

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