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

The answer to sqrt(x+7)=-x^2+5 is x\approx 1.44694…,x\approx-1.63844…

Solve for x: sqrt(x+7)=-x^2+5

The solution is x\approx 1.44694…,x\approx-1.63844…

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

x \approx 1.44694 \dots, x \approx - 1.63844 \dots

Solution steps

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

Square both sides:

x + 7 = x^{4} - 10 x^{2} + 25

x + 7 = x^{4} - 10 x^{2} + 25

Solve

x + 7 = x^{4} - 10 x^{2} + 25 : x \approx 2.85288 \dots, x \approx - 2.66137 \dots, x \approx 1.44694 \dots, x \approx - 1.63844 \dots

x \approx 2.85288 \dots, x \approx - 2.66137 \dots, x \approx 1.44694 \dots, x \approx - 1.63844 \dots

Verify Solutions:

x \approx 2.85288 \dots

False

, x \approx - 2.66137 \dots

False

, x \approx 1.44694 \dots

True

, x \approx - 1.63844 \dots

True

The solutions are

x \approx 1.44694 \dots, x \approx - 1.63844 \dots

x + 1 + x + 4 = 3

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

7 x = 13 x

y \cdot y = 15

x + 3 + 1 = 3 x

What is the answer to sqrt(x+7)=-x^2+5 ?
The answer to sqrt(x+7)=-x^2+5 is x\approx 1.44694…,x\approx-1.63844…
Solve for x: sqrt(x+7)=-x^2+5
The solution is x\approx 1.44694…,x\approx-1.63844…