What are the solutions to the equation 4x^2-16x=9 ?

The solutions to the equation 4x^2-16x=9 are x= 9/2 ,x=-1/2

Find the zeros of 4x^2-16x=9

The zeros of 4x^2-16x=9 are x= 9/2 ,x=-1/2

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4 x^{2} - 16 x = 9

x = \frac{9}{2}, x = - \frac{1}{2}

Decimal Notation

x = 4.5, x = - 0.5

Solution steps

4 x^{2} - 16 x = 9

Move

9

to the left side

4 x^{2} - 16 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 4 ( - 9 )}{2 \cdot 4}

(- 16)^{2} - 4 \cdot 4 (- 9) = 20

x_{1, 2} = \frac{- ( - 16 ) \pm 20}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 20}{2 \cdot 4}, x_{2} = \frac{- ( - 16 ) - 20}{2 \cdot 4}

x = \frac{- ( - 16 ) + 20}{2 \cdot 4} : \frac{9}{2}

x = \frac{- ( - 16 ) - 20}{2 \cdot 4} : - \frac{1}{2}

The solutions to the quadratic equation are:

x = \frac{9}{2}, x = - \frac{1}{2}

5 x^{2} - 8 x + 12 = 0

x^{2} + 3 x - 3 = 7 x + 9

x^{2} + 10 x - 12

x^{2} - 4 x = 77

- 60 x^{2} = 0

What are the solutions to the equation 4x^2-16x=9 ?
The solutions to the equation 4x^2-16x=9 are x= 9/2 ,x=-1/2
Find the zeros of 4x^2-16x=9
The zeros of 4x^2-16x=9 are x= 9/2 ,x=-1/2