What are the solutions to the equation 5x^2-3x-3=0 ?

The solutions to the equation 5x^2-3x-3=0 are x=(3+sqrt(69))/(10),x=(3-sqrt(69))/(10)

Find the zeros of 5x^2-3x-3=0

The zeros of 5x^2-3x-3=0 are x=(3+sqrt(69))/(10),x=(3-sqrt(69))/(10)

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

x = \frac{3 + 69}{10}, x = \frac{3 - 69}{10}

Decimal Notation

x = 1.13066 \dots, x = - 0.53066 \dots

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 5 ( - 3 )}{2 \cdot 5}

(- 3)^{2} - 4 \cdot 5 (- 3) = 69

x_{1, 2} = \frac{- ( - 3 ) \pm 69}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 69}{2 \cdot 5}, x_{2} = \frac{- ( - 3 ) - 69}{2 \cdot 5}

x = \frac{- ( - 3 ) + 69}{2 \cdot 5} : \frac{3 + 69}{10}

x = \frac{- ( - 3 ) - 69}{2 \cdot 5} : \frac{3 - 69}{10}

The solutions to the quadratic equation are:

x = \frac{3 + 69}{10}, x = \frac{3 - 69}{10}

\frac{2}{5} (- 1) + 1

16 (x + 1)^{3} + 2

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

3 x^{2} - 6 x - 4 = 0

x^{5} - 7 x^{4} + 9 x^{3} + 23 x^{2} - 50 x + 24

What are the solutions to the equation 5x^2-3x-3=0 ?
The solutions to the equation 5x^2-3x-3=0 are x=(3+sqrt(69))/(10),x=(3-sqrt(69))/(10)
Find the zeros of 5x^2-3x-3=0
The zeros of 5x^2-3x-3=0 are x=(3+sqrt(69))/(10),x=(3-sqrt(69))/(10)