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

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

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

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

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6 x^{2} + 4 = 25 x

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

Solution steps

6 x^{2} + 4 = 25 x

Move

25 x

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

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

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

x_{1, 2} = \frac{- ( - 25 ) \pm 23}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 25 ) + 23}{2 \cdot 6}, x_{2} = \frac{- ( - 25 ) - 23}{2 \cdot 6}

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

x = \frac{- ( - 25 ) - 23}{2 \cdot 6} : \frac{1}{6}

The solutions to the quadratic equation are:

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

2 (x^{2} - 2) < 3 (x - 3) - x^{2}

x^{10} - y^{10}

242 h^{2} - 200

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

\frac{1.1 - 2}{( 1.1 - 1 ) ^{2}}

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