What are the solutions to the equation 10x^2-3=13x ?

The solutions to the equation 10x^2-3=13x are x= 3/2 ,x=-1/5

Find the zeros of 10x^2-3=13x

The zeros of 10x^2-3=13x are x= 3/2 ,x=-1/5

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10 x^{2} - 3 = 13 x

x = \frac{3}{2}, x = - \frac{1}{5}

Decimal Notation

x = 1.5, x = - 0.2

Solution steps

10 x^{2} - 3 = 13 x

Move

13 x

to the left side

10 x^{2} - 3 - 13 x = 0

Write in the standard form

a x^{2} + b x + c = 0

10 x^{2} - 13 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 10 ( - 3 )}{2 \cdot 10}

(- 13)^{2} - 4 \cdot 10 (- 3) = 17

x_{1, 2} = \frac{- ( - 13 ) \pm 17}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 17}{2 \cdot 10}, x_{2} = \frac{- ( - 13 ) - 17}{2 \cdot 10}

x = \frac{- ( - 13 ) + 17}{2 \cdot 10} : \frac{3}{2}

x = \frac{- ( - 13 ) - 17}{2 \cdot 10} : - \frac{1}{5}

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = - \frac{1}{5}

(x - 3 + i) (x - 3 - i)

\frac{7 + i}{- 4 - 2 i}

2 x = 8

y^{2} - 7 y - 30

5 x^{2} + 18 x + 9 = 0

What are the solutions to the equation 10x^2-3=13x ?
The solutions to the equation 10x^2-3=13x are x= 3/2 ,x=-1/5
Find the zeros of 10x^2-3=13x
The zeros of 10x^2-3=13x are x= 3/2 ,x=-1/5