What are the solutions to the equation 4x^2+5=12x ?

The solutions to the equation 4x^2+5=12x are x= 5/2 ,x= 1/2

Find the zeros of 4x^2+5=12x

The zeros of 4x^2+5=12x are x= 5/2 ,x= 1/2

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4 x^{2} + 5 = 12 x

x = \frac{5}{2}, x = \frac{1}{2}

Decimal Notation

x = 2.5, x = 0.5

Solution steps

4 x^{2} + 5 = 12 x

Move

12 x

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 4 \cdot 5}{2 \cdot 4}

(- 12)^{2} - 4 \cdot 4 \cdot 5 = 8

x_{1, 2} = \frac{- ( - 12 ) \pm 8}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 8}{2 \cdot 4}, x_{2} = \frac{- ( - 12 ) - 8}{2 \cdot 4}

x = \frac{- ( - 12 ) + 8}{2 \cdot 4} : \frac{5}{2}

x = \frac{- ( - 12 ) - 8}{2 \cdot 4} : \frac{1}{2}

The solutions to the quadratic equation are:

x = \frac{5}{2}, x = \frac{1}{2}

2 x^{2} + 6 x - 16 = 0

4 x^{2} + 21 = - 20 x

a x^{2} + b x = 0

5 x^{2} + 3 x + 6 = 0

16 x^{2} - 32 x + 17 = 0

What are the solutions to the equation 4x^2+5=12x ?
The solutions to the equation 4x^2+5=12x are x= 5/2 ,x= 1/2
Find the zeros of 4x^2+5=12x
The zeros of 4x^2+5=12x are x= 5/2 ,x= 1/2