What is the answer to 9-x^2=sqrt(x+3) ?

The answer to 9-x^2=sqrt(x+3) is x=-3,x\approx 2.57653…,x\approx-2.97196…

Solve for x: 9-x^2=sqrt(x+3)

The solution is x=-3,x\approx 2.57653…,x\approx-2.97196…

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9 - x^{2} = x + 3

x = - 3, x \approx 2.57653 \dots, x \approx - 2.97196 \dots

Solution steps

9 - x^{2} = x + 3

Square both sides:

81 - 18 x^{2} + x^{4} = x + 3

81 - 18 x^{2} + x^{4} = x + 3

Solve

81 - 18 x^{2} + x^{4} = x + 3 : x = - 3, x \approx 2.57653 \dots, x \approx - 2.97196 \dots, x \approx 3.39542 \dots

x = - 3, x \approx 2.57653 \dots, x \approx - 2.97196 \dots, x \approx 3.39542 \dots

Verify Solutions:

x = - 3

True

, x \approx 2.57653 \dots

True

, x \approx - 2.97196 \dots

True

, x \approx 3.39542 \dots

False

The solutions are

x = - 3, x \approx 2.57653 \dots, x \approx - 2.97196 \dots

3 t + 4 = - 6

x = 6 x

8 + 2 x = x

3 - x = 2

6 - z^{2} - z = 8 - z

What is the answer to 9-x^2=sqrt(x+3) ?
The answer to 9-x^2=sqrt(x+3) is x=-3,x\approx 2.57653…,x\approx-2.97196…
Solve for x: 9-x^2=sqrt(x+3)
The solution is x=-3,x\approx 2.57653…,x\approx-2.97196…