What are the solutions to the equation 6x^2+15=23x ?

The solutions to the equation 6x^2+15=23x are x=3,x= 5/6

Find the zeros of 6x^2+15=23x

The zeros of 6x^2+15=23x are x=3,x= 5/6

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6 x^{2} + 15 = 23 x

x = 3, x = \frac{5}{6}

Decimal Notation

x = 3, x = 0.83333 \dots

Solution steps

6 x^{2} + 15 = 23 x

Move

23 x

to the left side

6 x^{2} + 15 - 23 x = 0

Write in the standard form

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

6 x^{2} - 23 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 23 ) \pm ( - 23 ) ^{2} - 4 \cdot 6 \cdot 15}{2 \cdot 6}

(- 23)^{2} - 4 \cdot 6 \cdot 15 = 13

x_{1, 2} = \frac{- ( - 23 ) \pm 13}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 23 ) + 13}{2 \cdot 6}, x_{2} = \frac{- ( - 23 ) - 13}{2 \cdot 6}

x = \frac{- ( - 23 ) + 13}{2 \cdot 6} : 3

x = \frac{- ( - 23 ) - 13}{2 \cdot 6} : \frac{5}{6}

The solutions to the quadratic equation are:

x = 3, x = \frac{5}{6}

0 - (- 1)

\frac{x + 1}{x - 6} \geq \frac{x + 2}{x - 4}

x^{2} + 9 x y + 14 y^{2}

28 c - 12

p (40) = 100 (0.92)^{40}

What are the solutions to the equation 6x^2+15=23x ?
The solutions to the equation 6x^2+15=23x are x=3,x= 5/6
Find the zeros of 6x^2+15=23x
The zeros of 6x^2+15=23x are x=3,x= 5/6