What is the answer to sqrt(-x^2+x+7)=x+1 ?

The answer to sqrt(-x^2+x+7)=x+1 is x= 3/2

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sqrt(-x^2+x+7)=x+1

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

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

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

Square both sides:

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

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

Solve

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

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

Verify Solutions:

x = - 2

False

, x = \frac{3}{2}

True

The solution is

x = \frac{3}{2}

1 = - 2 x + 6 + 3

x^{0.5} = 10

2 n + 29 + 3 = n

3 y - 16 y = - 5

5 t^{2} + 4 t - 5 = 0

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