What are the solutions to the equation X^2=(X-9)^2+(X-8)^2 ?

The solutions to the equation X^2=(X-9)^2+(X-8)^2 are X=29,X=5

Find the zeros of X^2=(X-9)^2+(X-8)^2

The zeros of X^2=(X-9)^2+(X-8)^2 are X=29,X=5

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X^{2} = (X - 9)^{2} + (X - 8)^{2}

X = 29, X = 5

Solution steps

X^{2} = (X - 9)^{2} + (X - 8)^{2}

Expand

(X - 9)^{2} + (X - 8)^{2} : 2 X^{2} - 34 X + 145

X^{2} = 2 X^{2} - 34 X + 145

Switch sides

2 X^{2} - 34 X + 145 = X^{2}

Move

X^{2}

to the left side

X^{2} - 34 X + 145 = 0

Solve with the quadratic formula

X_{1, 2} = \frac{- ( - 34 ) \pm ( - 34 ) ^{2} - 4 \cdot 1 \cdot 145}{2 \cdot 1}

(- 34)^{2} - 4 \cdot 1 \cdot 145 = 24

X_{1, 2} = \frac{- ( - 34 ) \pm 24}{2 \cdot 1}

Separate the solutions

X_{1} = \frac{- ( - 34 ) + 24}{2 \cdot 1}, X_{2} = \frac{- ( - 34 ) - 24}{2 \cdot 1}

X = \frac{- ( - 34 ) + 24}{2 \cdot 1} : 29

X = \frac{- ( - 34 ) - 24}{2 \cdot 1} : 5

The solutions to the quadratic equation are:

X = 29, X = 5

3 x^{2} + 5 x = - 3 x - 4

c^{2} = 9^{2} + 1 2^{2}

x, u = x^{2}

n^{2} - 7 n - 30 = 0

2 (x - 1) - (2 x + 3) (x + 3) = 6 x - 5

What are the solutions to the equation X^2=(X-9)^2+(X-8)^2 ?
The solutions to the equation X^2=(X-9)^2+(X-8)^2 are X=29,X=5
Find the zeros of X^2=(X-9)^2+(X-8)^2
The zeros of X^2=(X-9)^2+(X-8)^2 are X=29,X=5