What are the solutions to the equation 3x^2-8x-15=0 ?

The solutions to the equation 3x^2-8x-15=0 are x=(4+sqrt(61))/3 ,x=(4-sqrt(61))/3

Find the zeros of 3x^2-8x-15=0

The zeros of 3x^2-8x-15=0 are x=(4+sqrt(61))/3 ,x=(4-sqrt(61))/3

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3 x^{2} - 8 x - 15 = 0

x = \frac{4 + 61}{3}, x = \frac{4 - 61}{3}

Decimal Notation

x = 3.93674 \dots, x = - 1.27008 \dots

Solution steps

3 x^{2} - 8 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 ( - 15 )}{2 \cdot 3}

(- 8)^{2} - 4 \cdot 3 (- 15) = 261

x_{1, 2} = \frac{- ( - 8 ) \pm 2 61}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 61}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 2 61}{2 \cdot 3}

x = \frac{- ( - 8 ) + 2 61}{2 \cdot 3} : \frac{4 + 61}{3}

x = \frac{- ( - 8 ) - 2 61}{2 \cdot 3} : \frac{4 - 61}{3}

The solutions to the quadratic equation are:

x = \frac{4 + 61}{3}, x = \frac{4 - 61}{3}

a^{2} = 7

2 (x + 4)^{2} = 24

x^{2} + 5.1 \cdot 1 0^{- 4} x - (0.0001 \cdot 5.1 \cdot 1 0^{- 4}) = 0

2 s^{2} - 21 s + 49 = 0

5 x^{2} - 25 x + 3 = 0

What are the solutions to the equation 3x^2-8x-15=0 ?
The solutions to the equation 3x^2-8x-15=0 are x=(4+sqrt(61))/3 ,x=(4-sqrt(61))/3
Find the zeros of 3x^2-8x-15=0
The zeros of 3x^2-8x-15=0 are x=(4+sqrt(61))/3 ,x=(4-sqrt(61))/3