What are the solutions to the equation 5a^2-36a=32 ?

The solutions to the equation 5a^2-36a=32 are a=8,a=-4/5

Find the zeros of 5a^2-36a=32

The zeros of 5a^2-36a=32 are a=8,a=-4/5

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5 a^{2} - 36 a = 32

a = 8, a = - \frac{4}{5}

Decimal Notation

a = 8, a = - 0.8

Solution steps

5 a^{2} - 36 a = 32

Move

32

to the left side

5 a^{2} - 36 a - 32 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 \cdot 5 ( - 32 )}{2 \cdot 5}

(- 36)^{2} - 4 \cdot 5 (- 32) = 44

a_{1, 2} = \frac{- ( - 36 ) \pm 44}{2 \cdot 5}

Separate the solutions

a_{1} = \frac{- ( - 36 ) + 44}{2 \cdot 5}, a_{2} = \frac{- ( - 36 ) - 44}{2 \cdot 5}

a = \frac{- ( - 36 ) + 44}{2 \cdot 5} : 8

a = \frac{- ( - 36 ) - 44}{2 \cdot 5} : - \frac{4}{5}

The solutions to the quadratic equation are:

a = 8, a = - \frac{4}{5}

x, f = a (x - h)^{2}

- 2 x^{2} + 14 x = 0

3 x^{2} - 9 x = 6

x^{2} = 6 x + a

x^{2} - 8 x - 2 = 0

What are the solutions to the equation 5a^2-36a=32 ?
The solutions to the equation 5a^2-36a=32 are a=8,a=-4/5
Find the zeros of 5a^2-36a=32
The zeros of 5a^2-36a=32 are a=8,a=-4/5