What are the solutions to the equation (8.8-x)^2=8.8^2-x^2 ?

The solutions to the equation (8.8-x)^2=8.8^2-x^2 are x=0,x=8.8

Find the zeros of (8.8-x)^2=8.8^2-x^2

The zeros of (8.8-x)^2=8.8^2-x^2 are x=0,x=8.8

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(8.8 - x)^{2} = 8. 8^{2} - x^{2}

x = 0, x = 8.8

Solution steps

(8.8 - x)^{2} = 8. 8^{2} - x^{2}

Expand

(8.8 - x)^{2} : 77.44 - 17.6 x + x^{2}

Expand

8. 8^{2} - x^{2} : 77.44 - x^{2}

77.44 - 17.6 x + x^{2} = 77.44 - x^{2}

Move

77.44

to the right side

- 17.6 x + x^{2} = - x^{2}

Move

x^{2}

to the left side

- 17.6 x + 2 x^{2} = 0

Factor

- 17.6 x + 2 x^{2} : x (2 x - 17.6)

x (2 x - 17.6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x - 17.6 = 0

Solve

2 x - 17.6 = 0 : x = 8.8

The solutions to the quadratic equation are:

x = 0, x = 8.8

\frac{z}{- 1} \leq - 2

3 x^{2} - 7 x - 1 = 0

\frac{0}{10}

x^{2} - 2 x - 1 < 0

What are the solutions to the equation (8.8-x)^2=8.8^2-x^2 ?
The solutions to the equation (8.8-x)^2=8.8^2-x^2 are x=0,x=8.8
Find the zeros of (8.8-x)^2=8.8^2-x^2
The zeros of (8.8-x)^2=8.8^2-x^2 are x=0,x=8.8