What are the solutions to the equation 4a^2-10a-24=0 ?

The solutions to the equation 4a^2-10a-24=0 are a=4,a=-3/2

Find the zeros of 4a^2-10a-24=0

The zeros of 4a^2-10a-24=0 are a=4,a=-3/2

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4 a^{2} - 10 a - 24 = 0

a = 4, a = - \frac{3}{2}

Decimal Notation

a = 4, a = - 1.5

Solution steps

4 a^{2} - 10 a - 24 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 4 ( - 24 )}{2 \cdot 4}

(- 10)^{2} - 4 \cdot 4 (- 24) = 22

a_{1, 2} = \frac{- ( - 10 ) \pm 22}{2 \cdot 4}

Separate the solutions

a_{1} = \frac{- ( - 10 ) + 22}{2 \cdot 4}, a_{2} = \frac{- ( - 10 ) - 22}{2 \cdot 4}

a = \frac{- ( - 10 ) + 22}{2 \cdot 4} : 4

a = \frac{- ( - 10 ) - 22}{2 \cdot 4} : - \frac{3}{2}

The solutions to the quadratic equation are:

a = 4, a = - \frac{3}{2}

x^{2} - 7 x = 0

x^{2} + 60 x - 700 = 0

0 = - x^{2} - 2 x + 47

\frac{3 x}{4} + \frac{a}{2} - \frac{x ^{2}}{2 a} = 0

9 x^{2} + 13 x + 8 = 2 x^{2} + 18 x + 9

What are the solutions to the equation 4a^2-10a-24=0 ?
The solutions to the equation 4a^2-10a-24=0 are a=4,a=-3/2
Find the zeros of 4a^2-10a-24=0
The zeros of 4a^2-10a-24=0 are a=4,a=-3/2