What is the answer to x^3-2x^2+5=sqrt(3x+10) ?

The answer to x^3-2x^2+5=sqrt(3x+10) is x\approx-0.89063…

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x^3-2x^2+5=sqrt(3x+10)

x^{3} - 2 x^{2} + 5 = 3 x + 10

x \approx - 0.89063 \dots

Solution steps

x^{3} - 2 x^{2} + 5 = 3 x + 10

Square both sides:

x^{6} - 4 x^{5} + 10 x^{3} + 4 x^{4} - 20 x^{2} + 25 = 3 x + 10

x^{6} - 4 x^{5} + 10 x^{3} + 4 x^{4} - 20 x^{2} + 25 = 3 x + 10

Solve

x^{6} - 4 x^{5} + 10 x^{3} + 4 x^{4} - 20 x^{2} + 25 = 3 x + 10 : x \approx - 0.89063 \dots, x \approx - 1.45963 \dots

x \approx - 0.89063 \dots, x \approx - 1.45963 \dots

Verify Solutions:

x \approx - 0.89063 \dots

True

, x \approx - 1.45963 \dots

False

The solution is

x \approx - 0.89063 \dots

(x - 5)^{\frac{3}{2}} = 8

x^{\frac{2}{3}} = 16

x = 7

x^{2} - x - 4 = x + 2

(12 - x)^{\frac{1}{2}} = 36 - a

What is the answer to x^3-2x^2+5=sqrt(3x+10) ?
The answer to x^3-2x^2+5=sqrt(3x+10) is x\approx-0.89063…
Solve for x: x^3-2x^2+5=sqrt(3x+10)
The solution is x\approx-0.89063…