What are the solutions to the equation 6x^2+17x=14 ?

The solutions to the equation 6x^2+17x=14 are x= 2/3 ,x=-7/2

Find the zeros of 6x^2+17x=14

The zeros of 6x^2+17x=14 are x= 2/3 ,x=-7/2

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6 x^{2} + 17 x = 14

x = \frac{2}{3}, x = - \frac{7}{2}

Decimal Notation

x = 0.66666 \dots, x = - 3.5

Solution steps

6 x^{2} + 17 x = 14

Move

14

to the left side

6 x^{2} + 17 x - 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 17 \pm 1 7 ^{2} - 4 \cdot 6 ( - 14 )}{2 \cdot 6}

1 7^{2} - 4 \cdot 6 (- 14) = 25

x_{1, 2} = \frac{- 17 \pm 25}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 17 + 25}{2 \cdot 6}, x_{2} = \frac{- 17 - 25}{2 \cdot 6}

x = \frac{- 17 + 25}{2 \cdot 6} : \frac{2}{3}

x = \frac{- 17 - 25}{2 \cdot 6} : - \frac{7}{2}

The solutions to the quadratic equation are:

x = \frac{2}{3}, x = - \frac{7}{2}

4 a^{2} + 16 a + 16 = 0

x, (x + 1)^{2} + y^{2} + (z + 4)^{2} = 5

x^{2} - 155 x + 5950 = 0

4 x = x^{2} - 21

3 x^{2} + 16 x - 75 = 0

What are the solutions to the equation 6x^2+17x=14 ?
The solutions to the equation 6x^2+17x=14 are x= 2/3 ,x=-7/2
Find the zeros of 6x^2+17x=14
The zeros of 6x^2+17x=14 are x= 2/3 ,x=-7/2