What is the answer to 2-x=sqrt(8-7x) ?

The answer to 2-x=sqrt(8-7x) is x=1,x=-4

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2-x=sqrt(8-7x)

2 - x = 8 - 7 x

x = 1, x = - 4

Solution steps

2 - x = 8 - 7 x

Square both sides:

4 - 4 x + x^{2} = 8 - 7 x

4 - 4 x + x^{2} = 8 - 7 x

Solve

4 - 4 x + x^{2} = 8 - 7 x : x = 1, x = - 4

x = 1, x = - 4

Verify Solutions:

x = 1

True

, x = - 4

True

The solutions are

x = 1, x = - 4

4 x + 2 = 3 x + 4

x + 4 = 6 x + 12

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

x + 4 - 6 - x = - 2

x^{2} - 1 = 3 - x^{2}