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

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

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

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

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x + 3 = 9 - x^{2}

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

Solution steps

x + 3 = 9 - x^{2}

Square both sides:

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

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

Solve

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

2 = \frac{x}{5000}

x - 8378 = 22739

6 - x = 0

5 (m) = m - 4

2 x^{2} - 9 = 3 x

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