What are the solutions to the equation 4x^2-15x+10=0 ?

The solutions to the equation 4x^2-15x+10=0 are x=(15+sqrt(65))/8 ,x=(15-sqrt(65))/8

Find the zeros of 4x^2-15x+10=0

The zeros of 4x^2-15x+10=0 are x=(15+sqrt(65))/8 ,x=(15-sqrt(65))/8

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4 x^{2} - 15 x + 10 = 0

x = \frac{15 + 65}{8}, x = \frac{15 - 65}{8}

Decimal Notation

x = 2.88278 \dots, x = 0.86721 \dots

Solution steps

4 x^{2} - 15 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 4 \cdot 10}{2 \cdot 4}

(- 15)^{2} - 4 \cdot 4 \cdot 10 = 65

x_{1, 2} = \frac{- ( - 15 ) \pm 65}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 15 ) + 65}{2 \cdot 4}, x_{2} = \frac{- ( - 15 ) - 65}{2 \cdot 4}

x = \frac{- ( - 15 ) + 65}{2 \cdot 4} : \frac{15 + 65}{8}

x = \frac{- ( - 15 ) - 65}{2 \cdot 4} : \frac{15 - 65}{8}

The solutions to the quadratic equation are:

x = \frac{15 + 65}{8}, x = \frac{15 - 65}{8}

x^{2} - 226 x + 1105 = 0

x, x^{2} y - 4 x + 4 = 0

x^{2} + 5 x = 8

x, y = 3 x^{2}

0.0021 x^{2} - 0.42 x + 125 = 115

What are the solutions to the equation 4x^2-15x+10=0 ?
The solutions to the equation 4x^2-15x+10=0 are x=(15+sqrt(65))/8 ,x=(15-sqrt(65))/8
Find the zeros of 4x^2-15x+10=0
The zeros of 4x^2-15x+10=0 are x=(15+sqrt(65))/8 ,x=(15-sqrt(65))/8