What are the solutions to the equation (15)0.15^2+(1.5)5^2=1.5(x^2)+15(0.85^2) ?

The solutions to the equation (15)0.15^2+(1.5)5^2=1.5(x^2)+15(0.85^2) are x=3sqrt(2),x=-3sqrt(2)

Find the zeros of (15)0.15^2+(1.5)5^2=1.5(x^2)+15(0.85^2)

The zeros of (15)0.15^2+(1.5)5^2=1.5(x^2)+15(0.85^2) are x=3sqrt(2),x=-3sqrt(2)

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(15) 0.1 5^{2} + (1.5) 5^{2} = 1.5 (x^{2}) + 15 (0.8 5^{2})

x = 32, x = - 32

Decimal Notation

x = 4.24264 \dots, x = - 4.24264 \dots

Solution steps

(15) \cdot 0.1 5^{2} + (1.5) \cdot 5^{2} = 1.5 (x^{2}) + 15 (0.8 5^{2})

Expand

(15) \cdot 0.1 5^{2} + (1.5) \cdot 5^{2} : 37.8375

Expand

1.5 (x^{2}) + 15 (0.8 5^{2}) : 1.5 x^{2} + 10.8375

37.8375 = 1.5 x^{2} + 10.8375

Switch sides

1.5 x^{2} + 10.8375 = 37.8375

Move

10.8375

to the right side

1.5 x^{2} = 27

Divide both sides by

1.5

x^{2} = 18

For

x^{2} = f (a)

the solutions are

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

x = 18, x = - 18

18 = 32

- 18 = - 32

x = 32, x = - 32

x^{2} - 2 x = 8

x^{2} - 14 x + 45 = 0

x^{2} + 2 = 51

0.33 = - 4.91 x^{2} - 4.58 x

\frac{( x - 1 ) ^{2}}{16} + \frac{( x - 3 ) ^{2}}{4} = 1

What are the solutions to the equation (15)0.15^2+(1.5)5^2=1.5(x^2)+15(0.85^2) ?
The solutions to the equation (15)0.15^2+(1.5)5^2=1.5(x^2)+15(0.85^2) are x=3sqrt(2),x=-3sqrt(2)
Find the zeros of (15)0.15^2+(1.5)5^2=1.5(x^2)+15(0.85^2)
The zeros of (15)0.15^2+(1.5)5^2=1.5(x^2)+15(0.85^2) are x=3sqrt(2),x=-3sqrt(2)