What are the solutions to the equation 4a^2-63=4a ?

The solutions to the equation 4a^2-63=4a are a= 9/2 ,a=-7/2

Find the zeros of 4a^2-63=4a

The zeros of 4a^2-63=4a are a= 9/2 ,a=-7/2

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4 a^{2} - 63 = 4 a

a = \frac{9}{2}, a = - \frac{7}{2}

Decimal Notation

a = 4.5, a = - 3.5

Solution steps

4 a^{2} - 63 = 4 a

Move

4 a

to the left side

4 a^{2} - 63 - 4 a = 0

Write in the standard form

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

4 a^{2} - 4 a - 63 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 4 ( - 63 )}{2 \cdot 4}

(- 4)^{2} - 4 \cdot 4 (- 63) = 32

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

Separate the solutions

a_{1} = \frac{- ( - 4 ) + 32}{2 \cdot 4}, a_{2} = \frac{- ( - 4 ) - 32}{2 \cdot 4}

a = \frac{- ( - 4 ) + 32}{2 \cdot 4} : \frac{9}{2}

a = \frac{- ( - 4 ) - 32}{2 \cdot 4} : - \frac{7}{2}

The solutions to the quadratic equation are:

a = \frac{9}{2}, a = - \frac{7}{2}

- 4 x^{2} + 5 = - 59

9 x^{2} + 5 x = 3

(3 x + 2) (x - 7) = 0

- 2 x^{2} + 8 x + 4 = 0

4 u^{2} - 11 u - 3 = 0

What are the solutions to the equation 4a^2-63=4a ?
The solutions to the equation 4a^2-63=4a are a= 9/2 ,a=-7/2
Find the zeros of 4a^2-63=4a
The zeros of 4a^2-63=4a are a= 9/2 ,a=-7/2