What are the solutions to the equation 3x^2-9x-15=0 ?

The solutions to the equation 3x^2-9x-15=0 are x=(3+sqrt(29))/2 ,x=(3-sqrt(29))/2

Find the zeros of 3x^2-9x-15=0

The zeros of 3x^2-9x-15=0 are x=(3+sqrt(29))/2 ,x=(3-sqrt(29))/2

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3 x^{2} - 9 x - 15 = 0

x = \frac{3 + 29}{2}, x = \frac{3 - 29}{2}

Decimal

x = 4.19258 \dots, x = - 1.19258 \dots

Solution steps

3 x^{2} - 9 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 3 ( - 15 )}{2 \cdot 3}

(- 9)^{2} - 4 \cdot 3 (- 15) = 329

x_{1, 2} = \frac{- ( - 9 ) \pm 3 29}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 3 29}{2 \cdot 3}, x_{2} = \frac{- ( - 9 ) - 3 29}{2 \cdot 3}

x = \frac{- ( - 9 ) + 3 29}{2 \cdot 3} : \frac{3 + 29}{2}

x = \frac{- ( - 9 ) - 3 29}{2 \cdot 3} : \frac{3 - 29}{2}

The solutions to the quadratic equation are:

x = \frac{3 + 29}{2}, x = \frac{3 - 29}{2}

(x - 3)^{2} = \frac{5}{2}

3 w^{2} - 12 w = - 12

1.2 x^{2} - 0.6 x - 10.2 = 0

64 - 16 x = 32 x^{2}

x^{2} + 8 x - 240 = 0

What are the solutions to the equation 3x^2-9x-15=0 ?
The solutions to the equation 3x^2-9x-15=0 are x=(3+sqrt(29))/2 ,x=(3-sqrt(29))/2
Find the zeros of 3x^2-9x-15=0
The zeros of 3x^2-9x-15=0 are x=(3+sqrt(29))/2 ,x=(3-sqrt(29))/2