What is the answer to sqrt(2x^2-7)=5-2x ?

The answer to sqrt(2x^2-7)=5-2x is x=2

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sqrt(2x^2-7)=5-2x

2 x^{2} - 7 = 5 - 2 x

x = 2

Solution steps

2 x^{2} - 7 = 5 - 2 x

Square both sides:

2 x^{2} - 7 = 25 - 20 x + 4 x^{2}

2 x^{2} - 7 = 25 - 20 x + 4 x^{2}

Solve

2 x^{2} - 7 = 25 - 20 x + 4 x^{2} : x = 8, x = 2

x = 8, x = 2

Verify Solutions:

x = 8

False

, x = 2

True

The solution is

x = 2

x + 7 = 3 + 2 - x

0.5 = 2.17 (x - 0.75)^{\frac{3}{2}}

(1 - y^{2})^{2} + y^{2} - 1 = 0

13 y + 9 - y + 9 = 6

5 + x = 8

What is the answer to sqrt(2x^2-7)=5-2x ?
The answer to sqrt(2x^2-7)=5-2x is x=2
Solve for x: sqrt(2x^2-7)=5-2x
The solution is x=2