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

The answer to 2x^2-2x+sqrt(x^2-x)=3 is x\approx-0.61803…,x\approx 1.61803…

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

The solution is x\approx-0.61803…,x\approx 1.61803…

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

x \approx - 0.61803 \dots, x \approx 1.61803 \dots

Solution steps

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

Remove square roots

x^{2} - x = 4 x^{4} - 8 x^{3} - 8 x^{2} + 12 x + 9

Solve

x^{2} - x = 4 x^{4} - 8 x^{3} - 8 x^{2} + 12 x + 9 : x \approx - 1.08113 \dots, x \approx - 0.61803 \dots, x \approx 1.61803 \dots, x \approx 2.08113 \dots

x \approx - 1.08113 \dots, x \approx - 0.61803 \dots, x \approx 1.61803 \dots, x \approx 2.08113 \dots

Verify Solutions:

x \approx - 1.08113 \dots

False

, x \approx - 0.61803 \dots

True

, x \approx 1.61803 \dots

True

, x \approx 2.08113 \dots

False

The solutions are

x \approx - 0.61803 \dots, x \approx 1.61803 \dots

2 x + 5 - x = 1

3 n = 2 n - 1

4 2 x = 2 x^{2}

500 = 3 t + 10 t + 140

(12 h - 19)^{\frac{1}{3}} + 4 = 9

What is the answer to 2x^2-2x+sqrt(x^2-x)=3 ?
The answer to 2x^2-2x+sqrt(x^2-x)=3 is x\approx-0.61803…,x\approx 1.61803…
Solve for x: 2x^2-2x+sqrt(x^2-x)=3
The solution is x\approx-0.61803…,x\approx 1.61803…