What are the solutions to the equation -3x^2-10x+4=0 ?

The solutions to the equation -3x^2-10x+4=0 are x=-(5+sqrt(37))/3 ,x=(sqrt(37)-5)/3

Find the zeros of -3x^2-10x+4=0

The zeros of -3x^2-10x+4=0 are x=-(5+sqrt(37))/3 ,x=(sqrt(37)-5)/3

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- 3 x^{2} - 10 x + 4 = 0

x = - \frac{5 + 37}{3}, x = \frac{37 - 5}{3}

Decimal Notation

x = - 3.69425 \dots, x = 0.36092 \dots

Solution steps

- 3 x^{2} - 10 x + 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 ( - 3 ) \cdot 4}{2 ( - 3 )}

(- 10)^{2} - 4 (- 3) \cdot 4 = 237

x_{1, 2} = \frac{- ( - 10 ) \pm 2 37}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 37}{2 ( - 3 )}, x_{2} = \frac{- ( - 10 ) - 2 37}{2 ( - 3 )}

x = \frac{- ( - 10 ) + 2 37}{2 ( - 3 )} : - \frac{5 + 37}{3}

x = \frac{- ( - 10 ) - 2 37}{2 ( - 3 )} : \frac{37 - 5}{3}

The solutions to the quadratic equation are:

x = - \frac{5 + 37}{3}, x = \frac{37 - 5}{3}

0 = x^{2} + 6 x + 11

x^{2} - 15 x - 80 = 170

5 x^{2} - 3 x + 2 = 1

2 x^{2} - 20 x + 32 = 0

3 x^{2} - 10 x - 4 = 0

What are the solutions to the equation -3x^2-10x+4=0 ?
The solutions to the equation -3x^2-10x+4=0 are x=-(5+sqrt(37))/3 ,x=(sqrt(37)-5)/3
Find the zeros of -3x^2-10x+4=0
The zeros of -3x^2-10x+4=0 are x=-(5+sqrt(37))/3 ,x=(sqrt(37)-5)/3