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

The solutions to the equation x^2-3/2 x-10=0 are x=4,x=-5/2

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

The zeros of x^2-3/2 x-10=0 are x=4,x=-5/2

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x^{2} - \frac{3}{2} x - 10 = 0

x = 4, x = - \frac{5}{2}

Solution steps

x^{2} - \frac{3}{2} x - 10 = 0

Multiply both sides by

2

2 x^{2} - 3 x - 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 2 ( - 20 )}{2 \cdot 2}

(- 3)^{2} - 4 \cdot 2 (- 20) = 13

x_{1, 2} = \frac{- ( - 3 ) \pm 13}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 13}{2 \cdot 2}, x_{2} = \frac{- ( - 3 ) - 13}{2 \cdot 2}

x = \frac{- ( - 3 ) + 13}{2 \cdot 2} : 4

x = \frac{- ( - 3 ) - 13}{2 \cdot 2} : - \frac{5}{2}

The solutions to the quadratic equation are:

x = 4, x = - \frac{5}{2}

3 x^{2} - 5 x + 30 = 0

x = 2 x - x^{2}

2 x^{2} - 8 x + 12

2 x^{2} - 8 x + 17

4 x^{2} + 1 = 9

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