What are the solutions to the equation -7x^2+4x+2/5 =0 ?

The solutions to the equation -7x^2+4x+2/5 =0 are x=-(-10+sqrt(170))/(35),x=(10+sqrt(170))/(35)

Find the zeros of -7x^2+4x+2/5 =0

The zeros of -7x^2+4x+2/5 =0 are x=-(-10+sqrt(170))/(35),x=(10+sqrt(170))/(35)

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- 7 x^{2} + 4 x + \frac{2}{5} = 0

x = - \frac{- 10 + 170}{35}, x = \frac{10 + 170}{35}

Decimal Notation

x = - 0.08681 \dots, x = 0.65824 \dots

Solution steps

- 7 x^{2} + 4 x + \frac{2}{5} = 0

Multiply both sides by

5

- 35 x^{2} + 20 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 ( - 35 ) \cdot 2}{2 ( - 35 )}

2 0^{2} - 4 (- 35) \cdot 2 = 2170

x_{1, 2} = \frac{- 20 \pm 2 170}{2 ( - 35 )}

Separate the solutions

x_{1} = \frac{- 20 + 2 170}{2 ( - 35 )}, x_{2} = \frac{- 20 - 2 170}{2 ( - 35 )}

x = \frac{- 20 + 2 170}{2 ( - 35 )} : - \frac{- 10 + 170}{35}

x = \frac{- 20 - 2 170}{2 ( - 35 )} : \frac{10 + 170}{35}

The solutions to the quadratic equation are:

x = - \frac{- 10 + 170}{35}, x = \frac{10 + 170}{35}

(x - 2)^{2} - 72 = 0

x^{2} = 5 (x + 210)

6 x^{2} - 5 x = 1

x, g (1 - t) = 3 x^{2} - 5 x + 1

6 a^{2} + 31 a + 5 = 0

What are the solutions to the equation -7x^2+4x+2/5 =0 ?
The solutions to the equation -7x^2+4x+2/5 =0 are x=-(-10+sqrt(170))/(35),x=(10+sqrt(170))/(35)
Find the zeros of -7x^2+4x+2/5 =0
The zeros of -7x^2+4x+2/5 =0 are x=-(-10+sqrt(170))/(35),x=(10+sqrt(170))/(35)