What are the solutions to the equation sqrt(3)x^2+2x-2-sqrt(3)=0 ?

The solutions to the equation sqrt(3)x^2+2x-2-sqrt(3)=0 are x=1,x=-2/(sqrt(3))-1

Find the zeros of sqrt(3)x^2+2x-2-sqrt(3)=0

The zeros of sqrt(3)x^2+2x-2-sqrt(3)=0 are x=1,x=-2/(sqrt(3))-1

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3 x^{2} + 2 x - 2 - 3 = 0

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

Decimal Notation

x = 1, x = - 2.15470 \dots

Solution steps

3 x^{2} + 2 x - 2 - 3 = 0

Factor

3 x^{2} + 2 x - 2 - 3 : (- 1 + x) (3 (1 + x) + 2)

(- 1 + x) (3 (1 + x) + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

- 1 + x = 0 or 3 (1 + x) + 2 = 0

Solve

- 1 + x = 0 : x = 1

Solve

3 (1 + x) + 2 = 0 : x = - \frac{2}{3} - 1

The solutions to the quadratic equation are:

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

- 2 y^{2} - 5 y + 6 = 0

3 s^{2} + 0.5 s + 2 = 0

- x^{2} + 0 x + 1 = 0

3 x (2 x - 8) = 0

x^{2} - 19 x - 722 = 0

What are the solutions to the equation sqrt(3)x^2+2x-2-sqrt(3)=0 ?
The solutions to the equation sqrt(3)x^2+2x-2-sqrt(3)=0 are x=1,x=-2/(sqrt(3))-1
Find the zeros of sqrt(3)x^2+2x-2-sqrt(3)=0
The zeros of sqrt(3)x^2+2x-2-sqrt(3)=0 are x=1,x=-2/(sqrt(3))-1