What are the solutions to the equation 5u^2-14u-3=0 ?

The solutions to the equation 5u^2-14u-3=0 are u=3,u=-1/5

Find the zeros of 5u^2-14u-3=0

The zeros of 5u^2-14u-3=0 are u=3,u=-1/5

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5 u^{2} - 14 u - 3 = 0

u = 3, u = - \frac{1}{5}

Decimal Notation

u = 3, u = - 0.2

Solution steps

5 u^{2} - 14 u - 3 = 0

Solve with the quadratic formula

u_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 5 ( - 3 )}{2 \cdot 5}

(- 14)^{2} - 4 \cdot 5 (- 3) = 16

u_{1, 2} = \frac{- ( - 14 ) \pm 16}{2 \cdot 5}

Separate the solutions

u_{1} = \frac{- ( - 14 ) + 16}{2 \cdot 5}, u_{2} = \frac{- ( - 14 ) - 16}{2 \cdot 5}

u = \frac{- ( - 14 ) + 16}{2 \cdot 5} : 3

u = \frac{- ( - 14 ) - 16}{2 \cdot 5} : - \frac{1}{5}

The solutions to the quadratic equation are:

u = 3, u = - \frac{1}{5}

x, x^{2} = 3 x y - 5

31 y + 7 y^{2} = 20

x^{2} - 10 x + 23

4 x^{2} - 22 x^{2} - 1 = 0

4 x^{2} - 8 x + 3 = 0

What are the solutions to the equation 5u^2-14u-3=0 ?
The solutions to the equation 5u^2-14u-3=0 are u=3,u=-1/5
Find the zeros of 5u^2-14u-3=0
The zeros of 5u^2-14u-3=0 are u=3,u=-1/5