What is the answer to (x+5)(2-x)=3sqrt(x^2+x) ?

The answer to (x+5)(2-x)=3sqrt(x^2+x) is x\approx 1.21001…,x\approx-3.41025…

Solve for x: (x+5)(2-x)=3sqrt(x^2+x)

The solution is x\approx 1.21001…,x\approx-3.41025…

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(x + 5) (2 - x) = 3 x^{2} + x

x \approx 1.21001 \dots, x \approx - 3.41025 \dots

Solution steps

(x + 5) (2 - x) = 3 x^{2} + x

Expand

(x + 5) (2 - x) : - 3 x - x^{2} + 10

- 3 x - x^{2} + 10 = 3 x^{2} + x

Square both sides:

6 x^{3} + x^{4} - 11 x^{2} - 60 x + 100 = 9 x^{2} + 9 x

6 x^{3} + x^{4} - 11 x^{2} - 60 x + 100 = 9 x^{2} + 9 x

Solve

6 x^{3} + x^{4} - 11 x^{2} - 60 x + 100 = 9 x^{2} + 9 x : x \approx 1.21001 \dots, x \approx - 3.41025 \dots, x \approx 3.37681 \dots, x \approx - 7.17657 \dots

x \approx 1.21001 \dots, x \approx - 3.41025 \dots, x \approx 3.37681 \dots, x \approx - 7.17657 \dots

Verify Solutions:

x \approx 1.21001 \dots

True

, x \approx - 3.41025 \dots

True

, x \approx 3.37681 \dots

False

, x \approx - 7.17657 \dots

False

The solutions are

x \approx 1.21001 \dots, x \approx - 3.41025 \dots

6 y - 17 = 5

n, n = 1 0^{6}

27 = \frac{5}{6} x

1 - 2 a 1 - a^{2} = 2 a^{2}

What is the answer to (x+5)(2-x)=3sqrt(x^2+x) ?
The answer to (x+5)(2-x)=3sqrt(x^2+x) is x\approx 1.21001…,x\approx-3.41025…
Solve for x: (x+5)(2-x)=3sqrt(x^2+x)
The solution is x\approx 1.21001…,x\approx-3.41025…