What is the answer to x+sqrt(5x-10)=8 ?

The answer to x+sqrt(5x-10)=8 is x=(21-sqrt(145))/2

Solve for x: x+sqrt(5x-10)=8

The solution is x=(21-sqrt(145))/2

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x + 5 x - 10 = 8

x = \frac{21 - 145}{2}

Decimal

x = 4.47920 \dots

Solution steps

x + 5 x - 10 = 8

Remove square roots

5 x - 10 = 64 - 16 x + x^{2}

Solve

5 x - 10 = 64 - 16 x + x^{2} : x = \frac{21 + 145}{2}, x = \frac{21 - 145}{2}

x = \frac{21 + 145}{2}, x = \frac{21 - 145}{2}

Verify Solutions:

x = \frac{21 + 145}{2}

False

, x = \frac{21 - 145}{2}

True

The solution is

x = \frac{21 - 145}{2}

4 x + 8 + 5 = x + 4

x, 5 - x - 3 = 0

y = \frac{y}{2}

y, x = (1 + 4 t) y

3 x - 6 = 0

What is the answer to x+sqrt(5x-10)=8 ?
The answer to x+sqrt(5x-10)=8 is x=(21-sqrt(145))/2
Solve for x: x+sqrt(5x-10)=8
The solution is x=(21-sqrt(145))/2