What is the answer to (x+5)^2=(x+4)^2 ?

The answer to (x+5)^2=(x+4)^2 is x=-9/2

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(x+5)^2=(x+4)^2

(x + 5)^{2} = (x + 4)^{2}

x = - \frac{9}{2}

Decimal Notation

x = - 4.5

Solution steps

(x + 5)^{2} = (x + 4)^{2}

Expand

(x + 5)^{2} : x^{2} + 10 x + 25

Expand

(x + 4)^{2} : x^{2} + 8 x + 16

x^{2} + 10 x + 25 = x^{2} + 8 x + 16

Move

25

to the right side

x^{2} + 10 x = x^{2} + 8 x - 9

Subtract

x^{2} + 8 x

from both sides

x^{2} + 10 x - (x^{2} + 8 x) = x^{2} + 8 x - 9 - (x^{2} + 8 x)

Simplify

2 x = - 9

Divide both sides by

2

x = - \frac{9}{2}

b^{4} + 9 b^{2} + 20

f = 3^{- 2}

\frac{( 11.94 )}{0.0125 ( 29 \cdot 1 0 ^{6} )}

3 a^{4} b^{2} m - 75 a^{3} b m^{4}