What is the answer to 9x+40=49+x-14sqrt(x) ?

The answer to 9x+40=49+x-14sqrt(x) is x= 1/4

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9x+40=49+x-14sqrt(x)

9 x + 40 = 49 + x - 14 x

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

9 x + 40 = 49 + x - 14 x

Remove square roots

64 x^{2} - 144 x + 81 = 196 x

Solve

64 x^{2} - 144 x + 81 = 196 x : x = \frac{81}{16}, x = \frac{1}{4}

x = \frac{81}{16}, x = \frac{1}{4}

Verify Solutions:

x = \frac{81}{16}

False

, x = \frac{1}{4}

True

The solution is

x = \frac{1}{4}

1 + 8 r - r^{2} = 4

\frac{2}{4 x - 3} = 2

k^{0.3} k + 2 = 20

x + 12 = x^{2} + 2 x - 8

8 - 2 x = x + 8

What is the answer to 9x+40=49+x-14sqrt(x) ?
The answer to 9x+40=49+x-14sqrt(x) is x= 1/4
Solve for x: 9x+40=49+x-14sqrt(x)
The solution is x= 1/4