What are the solutions to the equation 4x^2+6=25x ?

The solutions to the equation 4x^2+6=25x are x=6,x= 1/4

Find the zeros of 4x^2+6=25x

The zeros of 4x^2+6=25x are x=6,x= 1/4

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4 x^{2} + 6 = 25 x

x = 6, x = \frac{1}{4}

Decimal Notation

x = 6, x = 0.25

Solution steps

4 x^{2} + 6 = 25 x

Move

25 x

to the left side

4 x^{2} + 6 - 25 x = 0

Write in the standard form

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

4 x^{2} - 25 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 25 ) \pm ( - 25 ) ^{2} - 4 \cdot 4 \cdot 6}{2 \cdot 4}

(- 25)^{2} - 4 \cdot 4 \cdot 6 = 23

x_{1, 2} = \frac{- ( - 25 ) \pm 23}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 25 ) + 23}{2 \cdot 4}, x_{2} = \frac{- ( - 25 ) - 23}{2 \cdot 4}

x = \frac{- ( - 25 ) + 23}{2 \cdot 4} : 6

x = \frac{- ( - 25 ) - 23}{2 \cdot 4} : \frac{1}{4}

The solutions to the quadratic equation are:

x = 6, x = \frac{1}{4}

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

x^{2} + 7 x + 6 = 0

30 - 13 x - 15 x^{2} = 0

y = x^{2} - 7 x + 12, x

(x - 4)^{2} = - 8

What are the solutions to the equation 4x^2+6=25x ?
The solutions to the equation 4x^2+6=25x are x=6,x= 1/4
Find the zeros of 4x^2+6=25x
The zeros of 4x^2+6=25x are x=6,x= 1/4