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mrs_skeptik [129]
3 years ago
14

Solve the equation (90−x)^1/2=x.

Mathematics
2 answers:
Andrei [34K]3 years ago
6 0

Answer:

x=30

Step-by-step explanation:

NNADVOKAT [17]3 years ago
3 0

Answer:

x = 9,  - 10

Step-by-step explanation:

(90 - x)^ {\frac{1}{2}} = x \\\\Squaring \ both \ sides \\\\(( 90 - x)^{ \frac{1}{2}})^{2} = x^2\\\\90 -x = x^2\\\\x^2 + x - 90= 0\\\\x^2 + 10x - 9x  - 90 = 0\\\\x(x + 10) - 9 (x + 10) = 0\\\\(x - 9)(x + 10) = 0\\\\x = 9 ,  \ x = \ - 10

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