What are the solutions to the equation 1.5x^2-10x-16=0 ?

The solutions to the equation 1.5x^2-10x-16=0 are x=8,x=-4/3

Find the zeros of 1.5x^2-10x-16=0

The zeros of 1.5x^2-10x-16=0 are x=8,x=-4/3

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1.5 x^{2} - 10 x - 16 = 0

x = 8, x = - \frac{4}{3}

Solution steps

1.5 x^{2} - 10 x - 16 = 0

Multiply both sides by

10

15 x^{2} - 100 x - 160 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 15 ( - 160 )}{2 \cdot 15}

(- 100)^{2} - 4 \cdot 15 (- 160) = 140

x_{1, 2} = \frac{- ( - 100 ) \pm 140}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- ( - 100 ) + 140}{2 \cdot 15}, x_{2} = \frac{- ( - 100 ) - 140}{2 \cdot 15}

x = \frac{- ( - 100 ) + 140}{2 \cdot 15} : 8

x = \frac{- ( - 100 ) - 140}{2 \cdot 15} : - \frac{4}{3}

The solutions to the quadratic equation are:

x = 8, x = - \frac{4}{3}

x^{2} - 23 x - 50 = 0

5 x^{2} - 4 x + 7 = 0

x^{2} + 8 x + 16 = 36

- 2 x^{2} + 6 x + 5 = 0

1 + 4 + 7 + (3 n - 2) = \frac{n ( 3 n - 1 )}{2}

What are the solutions to the equation 1.5x^2-10x-16=0 ?
The solutions to the equation 1.5x^2-10x-16=0 are x=8,x=-4/3
Find the zeros of 1.5x^2-10x-16=0
The zeros of 1.5x^2-10x-16=0 are x=8,x=-4/3