What are the solutions to the equation 30-13x-15x^2=0 ?

The solutions to the equation 30-13x-15x^2=0 are x=-(13+sqrt(1969))/(30),x=(sqrt(1969)-13)/(30)

Find the zeros of 30-13x-15x^2=0

The zeros of 30-13x-15x^2=0 are x=-(13+sqrt(1969))/(30),x=(sqrt(1969)-13)/(30)

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30 - 13 x - 15 x^{2} = 0

x = - \frac{13 + 1969}{30}, x = \frac{1969 - 13}{30}

Decimal Notation

x = - 1.91244 \dots, x = 1.04578 \dots

Solution steps

30 - 13 x - 15 x^{2} = 0

Write in the standard form

a x^{2} + b x + c = 0

- 15 x^{2} - 13 x + 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 ( - 15 ) \cdot 30}{2 ( - 15 )}

(- 13)^{2} - 4 (- 15) \cdot 30 = 1969

x_{1, 2} = \frac{- ( - 13 ) \pm 1969}{2 ( - 15 )}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 1969}{2 ( - 15 )}, x_{2} = \frac{- ( - 13 ) - 1969}{2 ( - 15 )}

x = \frac{- ( - 13 ) + 1969}{2 ( - 15 )} : - \frac{13 + 1969}{30}

x = \frac{- ( - 13 ) - 1969}{2 ( - 15 )} : \frac{1969 - 13}{30}

The solutions to the quadratic equation are:

x = - \frac{13 + 1969}{30}, x = \frac{1969 - 13}{30}

y = x^{2} - 7 x + 12, x

(x - 4)^{2} = - 8

2 x^{2} + 20 x = 6

x^{2} + 0.7 x - 2.6 = 0

(5 h + 4)^{2} = 16

What are the solutions to the equation 30-13x-15x^2=0 ?
The solutions to the equation 30-13x-15x^2=0 are x=-(13+sqrt(1969))/(30),x=(sqrt(1969)-13)/(30)
Find the zeros of 30-13x-15x^2=0
The zeros of 30-13x-15x^2=0 are x=-(13+sqrt(1969))/(30),x=(sqrt(1969)-13)/(30)