What is the answer to sqrt(x(3x-7)-32)-x=-1 ?

The answer to sqrt(x(3x-7)-32)-x=-1 is x= 11/2

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sqrt(x(3x-7)-32)-x=-1

x (3 x - 7) - 32 - x = - 1

x = \frac{11}{2}

Decimal

x = 5.5

Solution steps

x (3 x - 7) - 32 - x = - 1

Remove square roots

3 x^{2} - 7 x - 32 = 1 - 2 x + x^{2}

Solve

3 x^{2} - 7 x - 32 = 1 - 2 x + x^{2} : x = \frac{11}{2}, x = - 3

x = \frac{11}{2}, x = - 3

Verify Solutions:

x = \frac{11}{2}

True

, x = - 3

False

The solution is

x = \frac{11}{2}

x - 3 + x - 4 = 10 + 3

x - 4 = 5 - 2 x

5 r - 5 = 45

2 - 3 x = 7

1 - \frac{1}{3 3 t ^{2}} = 0

What is the answer to sqrt(x(3x-7)-32)-x=-1 ?
The answer to sqrt(x(3x-7)-32)-x=-1 is x= 11/2
Solve for x: sqrt(x(3x-7)-32)-x=-1
The solution is x= 11/2