What is the answer to 5x^2+3x-2-3/(x+3)=0 ?

The answer to 5x^2+3x-2-3/(x+3)=0 is x\approx 0.51289…,x\approx-1.20821…,x\approx-2.90467…

Solve for x: 5x^2+3x-2-3/(x+3)=0

The solution is x\approx 0.51289…,x\approx-1.20821…,x\approx-2.90467…

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5 x^{2} + 3 x - 2 - \frac{3}{x + 3} = 0

x \approx 0.51289 \dots, x \approx - 1.20821 \dots, x \approx - 2.90467 \dots

Solution steps

5 x^{2} + 3 x - 2 - \frac{3}{x + 3} = 0

Multiply both sides by

x + 3

5 x^{2} (x + 3) + 3 x (x + 3) - 2 (x + 3) - 3 = 0

Solve

5 x^{2} (x + 3) + 3 x (x + 3) - 2 (x + 3) - 3 = 0 : x \approx 0.51289 \dots, x \approx - 1.20821 \dots, x \approx - 2.90467 \dots

x \approx 0.51289 \dots, x \approx - 1.20821 \dots, x \approx - 2.90467 \dots

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x \approx 0.51289 \dots, x \approx - 1.20821 \dots, x \approx - 2.90467 \dots

- \frac{2}{x + 1} = \frac{3}{x + 2}

\frac{x ^{2} - 7 x + 12}{2 x} = 0

\frac{3}{x} - 13 = 10 x

\frac{600000}{x ^{2} + 300} = 355.6

(\frac{3 - λ ^{5}}{62 - λ}) = 0

What is the answer to 5x^2+3x-2-3/(x+3)=0 ?
The answer to 5x^2+3x-2-3/(x+3)=0 is x\approx 0.51289…,x\approx-1.20821…,x\approx-2.90467…
Solve for x: 5x^2+3x-2-3/(x+3)=0
The solution is x\approx 0.51289…,x\approx-1.20821…,x\approx-2.90467…