What are the solutions to the equation 25r^2-80=-190r ?

The solutions to the equation 25r^2-80=-190r are r= 2/5 ,r=-8

Find the zeros of 25r^2-80=-190r

The zeros of 25r^2-80=-190r are r= 2/5 ,r=-8

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25 r^{2} - 80 = - 190 r

r = \frac{2}{5}, r = - 8

Decimal Notation

r = 0.4, r = - 8

Solution steps

25 r^{2} - 80 = - 190 r

Move

190 r

to the left side

25 r^{2} - 80 + 190 r = 0

Write in the standard form

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

25 r^{2} + 190 r - 80 = 0

Solve with the quadratic formula

r_{1, 2} = \frac{- 190 \pm 19 0 ^{2} - 4 \cdot 25 ( - 80 )}{2 \cdot 25}

19 0^{2} - 4 \cdot 25 (- 80) = 210

r_{1, 2} = \frac{- 190 \pm 210}{2 \cdot 25}

Separate the solutions

r_{1} = \frac{- 190 + 210}{2 \cdot 25}, r_{2} = \frac{- 190 - 210}{2 \cdot 25}

r = \frac{- 190 + 210}{2 \cdot 25} : \frac{2}{5}

r = \frac{- 190 - 210}{2 \cdot 25} : - 8

The solutions to the quadratic equation are:

r = \frac{2}{5}, r = - 8

(2 x - 3) \cdot (2 x + 3) + 2 x - 35 = 100 + 2 x

x, 3 x^{2} - 2 x y + 3 y^{2} - 8 = 0

x^{2} - 3 = 7

- 2 x^{2} - 18 = 0

2 x + 7.43 = - 0.21 x^{2} - 0.84 x + 50

What are the solutions to the equation 25r^2-80=-190r ?
The solutions to the equation 25r^2-80=-190r are r= 2/5 ,r=-8
Find the zeros of 25r^2-80=-190r
The zeros of 25r^2-80=-190r are r= 2/5 ,r=-8