What are the solutions to the equation 5x^2-17x+19=2x^2 ?

The solutions to the equation 5x^2-17x+19=2x^2 are x=(17+sqrt(61))/6 ,x=(17-sqrt(61))/6

Find the zeros of 5x^2-17x+19=2x^2

The zeros of 5x^2-17x+19=2x^2 are x=(17+sqrt(61))/6 ,x=(17-sqrt(61))/6

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5 x^{2} - 17 x + 19 = 2 x^{2}

x = \frac{17 + 61}{6}, x = \frac{17 - 61}{6}

Decimal Notation

x = 4.13504 \dots, x = 1.53162 \dots

Solution steps

5 x^{2} - 17 x + 19 = 2 x^{2}

Move

2 x^{2}

to the left side

3 x^{2} - 17 x + 19 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 17 ) \pm ( - 17 ) ^{2} - 4 \cdot 3 \cdot 19}{2 \cdot 3}

(- 17)^{2} - 4 \cdot 3 \cdot 19 = 61

x_{1, 2} = \frac{- ( - 17 ) \pm 61}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 17 ) + 61}{2 \cdot 3}, x_{2} = \frac{- ( - 17 ) - 61}{2 \cdot 3}

x = \frac{- ( - 17 ) + 61}{2 \cdot 3} : \frac{17 + 61}{6}

x = \frac{- ( - 17 ) - 61}{2 \cdot 3} : \frac{17 - 61}{6}

The solutions to the quadratic equation are:

x = \frac{17 + 61}{6}, x = \frac{17 - 61}{6}

3 x^{2} - 30 x = 0

x^{2} - 3 x + 1 = 0

x, x^{2} + y^{2} - 3 x y + x - y = 1

1 5^{2} = 1 2^{2} + x^{2}

3 x^{2} + 35 x - 12 = 0

What are the solutions to the equation 5x^2-17x+19=2x^2 ?
The solutions to the equation 5x^2-17x+19=2x^2 are x=(17+sqrt(61))/6 ,x=(17-sqrt(61))/6
Find the zeros of 5x^2-17x+19=2x^2
The zeros of 5x^2-17x+19=2x^2 are x=(17+sqrt(61))/6 ,x=(17-sqrt(61))/6