What are the solutions to the equation 12x^2-76x+90=0 ?

The solutions to the equation 12x^2-76x+90=0 are x=(19+sqrt(91))/6 ,x=(19-sqrt(91))/6

Find the zeros of 12x^2-76x+90=0

The zeros of 12x^2-76x+90=0 are x=(19+sqrt(91))/6 ,x=(19-sqrt(91))/6

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12 x^{2} - 76 x + 90 = 0

x = \frac{19 + 91}{6}, x = \frac{19 - 91}{6}

Decimal Notation

x = 4.75656 \dots, x = 1.57676 \dots

Solution steps

12 x^{2} - 76 x + 90 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 76 ) \pm ( - 76 ) ^{2} - 4 \cdot 12 \cdot 90}{2 \cdot 12}

(- 76)^{2} - 4 \cdot 12 \cdot 90 = 491

x_{1, 2} = \frac{- ( - 76 ) \pm 4 91}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 76 ) + 4 91}{2 \cdot 12}, x_{2} = \frac{- ( - 76 ) - 4 91}{2 \cdot 12}

x = \frac{- ( - 76 ) + 4 91}{2 \cdot 12} : \frac{19 + 91}{6}

x = \frac{- ( - 76 ) - 4 91}{2 \cdot 12} : \frac{19 - 91}{6}

The solutions to the quadratic equation are:

x = \frac{19 + 91}{6}, x = \frac{19 - 91}{6}

λ^{2} - 4 λ + 16 (1) = 0

x^{2} + x - 110 = 0

(4 x - 1) (x - 3) = - 7

x, 36 x^{2} - 4 y^{2} = - 9 z^{2} + 216 x + 16 y - 272

x^{2} - 8 x - 1 = 8

What are the solutions to the equation 12x^2-76x+90=0 ?
The solutions to the equation 12x^2-76x+90=0 are x=(19+sqrt(91))/6 ,x=(19-sqrt(91))/6
Find the zeros of 12x^2-76x+90=0
The zeros of 12x^2-76x+90=0 are x=(19+sqrt(91))/6 ,x=(19-sqrt(91))/6