What is the answer to 4x^2+8x=sqrt(2x+6) ?

The answer to 4x^2+8x=sqrt(2x+6) is x\approx-2.15138…,x\approx 0.28077…

Solve for x: 4x^2+8x=sqrt(2x+6)

The solution is x\approx-2.15138…,x\approx 0.28077…

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4 x^{2} + 8 x = 2 x + 6

x \approx - 2.15138 \dots, x \approx 0.28077 \dots

Solution steps

4 x^{2} + 8 x = 2 x + 6

Square both sides:

16 x^{4} + 64 x^{3} + 64 x^{2} = 2 x + 6

16 x^{4} + 64 x^{3} + 64 x^{2} = 2 x + 6

Solve

16 x^{4} + 64 x^{3} + 64 x^{2} = 2 x + 6 : x \approx - 2.15138 \dots, x \approx 0.28077 \dots, x \approx - 0.34861 \dots, x \approx - 1.78077 \dots

x \approx - 2.15138 \dots, x \approx 0.28077 \dots, x \approx - 0.34861 \dots, x \approx - 1.78077 \dots

Verify Solutions:

x \approx - 2.15138 \dots

True

, x \approx 0.28077 \dots

True

, x \approx - 0.34861 \dots

False

, x \approx - 1.78077 \dots

False

The solutions are

x \approx - 2.15138 \dots, x \approx 0.28077 \dots

x^{2} + x = 7 x^{2} + x + 2 - 12

x - 6 x - 16 = 0

4 x + 9 = 5 x - 19

n, n = 1000000

2 x + 5 = 5

What is the answer to 4x^2+8x=sqrt(2x+6) ?
The answer to 4x^2+8x=sqrt(2x+6) is x\approx-2.15138…,x\approx 0.28077…
Solve for x: 4x^2+8x=sqrt(2x+6)
The solution is x\approx-2.15138…,x\approx 0.28077…