What is the answer to 30-4x+sqrt(4x^2-60x+330)=36 ?

The answer to 30-4x+sqrt(4x^2-60x+330)=36 is x=(sqrt(179)-9)/2

Solve for x: 30-4x+sqrt(4x^2-60x+330)=36

The solution is x=(sqrt(179)-9)/2

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30 - 4 x + 4 x^{2} - 60 x + 330 = 36

x = \frac{179 - 9}{2}

Decimal Notation

x = 2.18954 \dots

Solution steps

30 - 4 x + 4 x^{2} - 60 x + 330 = 36

Remove square roots

4 x^{2} - 60 x + 330 = 16 x^{2} + 48 x + 36

Solve

4 x^{2} - 60 x + 330 = 16 x^{2} + 48 x + 36 : x = - \frac{9 + 179}{2}, x = \frac{179 - 9}{2}

x = - \frac{9 + 179}{2}, x = \frac{179 - 9}{2}

Verify Solutions:

x = - \frac{9 + 179}{2}

False

, x = \frac{179 - 9}{2}

True

The solution is

x = \frac{179 - 9}{2}

2.7 = 4.27 + x^{8.9}

\frac{1}{1 - x ^{2}} + 8 = 0

4.364 = 1.4 A^{0.6}

What is the answer to 30-4x+sqrt(4x^2-60x+330)=36 ?
The answer to 30-4x+sqrt(4x^2-60x+330)=36 is x=(sqrt(179)-9)/2
Solve for x: 30-4x+sqrt(4x^2-60x+330)=36
The solution is x=(sqrt(179)-9)/2