What is the answer to sqrt(36x+1261)=18x^2-17x ?

The answer to sqrt(36x+1261)=18x^2-17x is x=-1,x\approx 1.97241…

Solve for x: sqrt(36x+1261)=18x^2-17x

The solution is x=-1,x\approx 1.97241…

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36 x + 1261 = 18 x^{2} - 17 x

x = - 1, x \approx 1.97241 \dots

Solution steps

36 x + 1261 = 18 x^{2} - 17 x

Square both sides:

36 x + 1261 = 324 x^{4} - 612 x^{3} + 289 x^{2}

36 x + 1261 = 324 x^{4} - 612 x^{3} + 289 x^{2}

Solve

36 x + 1261 = 324 x^{4} - 612 x^{3} + 289 x^{2} : x = - 1, x \approx 1.97241 \dots

x = - 1, x \approx 1.97241 \dots

Verify Solutions:

x = - 1

True

, x \approx 1.97241 \dots

True

The solutions are

x = - 1, x \approx 1.97241 \dots

\frac{- 1}{5 - \frac{1}{5} \cdot x + 1} = \frac{17}{10}

x + 9 - 5 = 4

x - 1 = 2

x - 1 = 8

x + x - x = 1

What is the answer to sqrt(36x+1261)=18x^2-17x ?
The answer to sqrt(36x+1261)=18x^2-17x is x=-1,x\approx 1.97241…
Solve for x: sqrt(36x+1261)=18x^2-17x
The solution is x=-1,x\approx 1.97241…