What are the solutions to the equation 19.25=-8.5(2r-1.75)^2 ?

The solutions to the equation 19.25=-8.5(2r-1.75)^2 are r=0.875+0.75244…i,r=0.875-0.75244…i

Find the zeros of 19.25=-8.5(2r-1.75)^2

The zeros of 19.25=-8.5(2r-1.75)^2 are r=0.875+0.75244…i,r=0.875-0.75244…i

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19.25 = - 8.5 (2 r - 1.75)^{2}

r = 0.875 + 0.75244 \dots i, r = 0.875 - 0.75244 \dots i

Solution steps

19.25 = - 8.5 (2 r - 1.75)^{2}

Switch sides

- 8.5 (2 r - 1.75)^{2} = 19.25

Multiply both sides by

100

- 850 (2 r - 1.75)^{2} = 1925

Divide both sides by

- 850

(2 r - 1.75)^{2} = - \frac{77}{34}

For

(g (x))^{2} = f (a)

the solutions are

g (x) = f (a), - f (a)

Solve

2 r - 1.75 = - \frac{77}{34} : r = 0.875 + 0.75244 \dots i

Solve

2 r - 1.75 = - - \frac{77}{34} : r = 0.875 - 0.75244 \dots i

The solutions to the quadratic equation are:

r = 0.875 + 0.75244 \dots i, r = 0.875 - 0.75244 \dots i

x, x (2 x + 1) = 0

10 x^{2} + 125 = 5 x^{2} + 215

6 x^{2} + 125 = 5 (x^{2} + 25)

4 x^{2} + 5 x = - 1

9 (x^{2} - 2) - 13 = - 15

What are the solutions to the equation 19.25=-8.5(2r-1.75)^2 ?
The solutions to the equation 19.25=-8.5(2r-1.75)^2 are r=0.875+0.75244…i,r=0.875-0.75244…i
Find the zeros of 19.25=-8.5(2r-1.75)^2
The zeros of 19.25=-8.5(2r-1.75)^2 are r=0.875+0.75244…i,r=0.875-0.75244…i