What are the solutions to the equation 3x^2-18x-15=0 ?

The solutions to the equation 3x^2-18x-15=0 are x=3+sqrt(14),x=3-sqrt(14)

Find the zeros of 3x^2-18x-15=0

The zeros of 3x^2-18x-15=0 are x=3+sqrt(14),x=3-sqrt(14)

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3 x^{2} - 18 x - 15 = 0

x = 3 + 14, x = 3 - 14

Decimal Notation

x = 6.74165 \dots, x = - 0.74165 \dots

Solution steps

3 x^{2} - 18 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 3 ( - 15 )}{2 \cdot 3}

(- 18)^{2} - 4 \cdot 3 (- 15) = 614

x_{1, 2} = \frac{- ( - 18 ) \pm 6 14}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 18 ) + 6 14}{2 \cdot 3}, x_{2} = \frac{- ( - 18 ) - 6 14}{2 \cdot 3}

x = \frac{- ( - 18 ) + 6 14}{2 \cdot 3} : 3 + 14

x = \frac{- ( - 18 ) - 6 14}{2 \cdot 3} : 3 - 14

The solutions to the quadratic equation are:

x = 3 + 14, x = 3 - 14

x^{2} + 30 x = 231

s^{2} + 4 s + 8

10 n^{2} + 21 n + 9 = 0

1 - x^{2} = - 29

x, x^{2} + y^{2} = z^{2}

What are the solutions to the equation 3x^2-18x-15=0 ?
The solutions to the equation 3x^2-18x-15=0 are x=3+sqrt(14),x=3-sqrt(14)
Find the zeros of 3x^2-18x-15=0
The zeros of 3x^2-18x-15=0 are x=3+sqrt(14),x=3-sqrt(14)