What is the answer to sqrt(x^2-3)=2x^2-5x+3 ?

The answer to sqrt(x^2-3)=2x^2-5x+3 is x=2,x\approx 1.79370…

Solve for x: sqrt(x^2-3)=2x^2-5x+3

The solution is x=2,x\approx 1.79370…

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x^{2} - 3 = 2 x^{2} - 5 x + 3

x = 2, x \approx 1.79370 \dots

Solution steps

x^{2} - 3 = 2 x^{2} - 5 x + 3

Square both sides:

x^{2} - 3 = 4 x^{4} - 20 x^{3} + 37 x^{2} - 30 x + 9

x^{2} - 3 = 4 x^{4} - 20 x^{3} + 37 x^{2} - 30 x + 9

Solve

x^{2} - 3 = 4 x^{4} - 20 x^{3} + 37 x^{2} - 30 x + 9 : x = 2, x \approx 1.79370 \dots

x = 2, x \approx 1.79370 \dots

Verify Solutions:

x = 2

True

, x \approx 1.79370 \dots

True

The solutions are

x = 2, x \approx 1.79370 \dots

100 = \frac{8 x}{1 + x}

- x + 12 = x

y + 6 = 2 y^{2} + 72

x, x - y = 1

What is the answer to sqrt(x^2-3)=2x^2-5x+3 ?
The answer to sqrt(x^2-3)=2x^2-5x+3 is x=2,x\approx 1.79370…
Solve for x: sqrt(x^2-3)=2x^2-5x+3
The solution is x=2,x\approx 1.79370…