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Solve the following equations, thanks!

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x^2 - 3x - 10 = 0

x^2 - 8x = 0

(x + 3)(2x - 1) = 0

x^2 = 4

x^2 = 10x - 25

2x^2 - 8x - 8 = -8

Feb 15, 2018

#1
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x^2  -  3x  - 10  = 0     factor

(x - 5)(x +2) =  0

Set each factor to 0 and solve for x  and we have that  x  = 5  or  x = -2

x^2 - 8x = 0

x( x - 8)  =  0

Set each factor to 0 and solve for x  and we have that  x  = 0  or  x = 8

(x + 3)(2x - 1) = 0

x +  3  = 0                             2x   -  1  =    0

- 3     -3                                    +  1     + 1

x   =  -3                                  2x          = 1          divide both sides by 2

x      =  1/2

x^2  = 4       subtract 4 from both sides

x^2  - 4  =  0    factor

( x + 2)  ( x - 2)  = 0

Settting each factor to 0 and solving and we have that   x = -2  or x  = 2

x^2 = 10x - 25       subtract  10x from both sides, add 25 to both sides

x^2 - 10x + 25  = 0    factor

(x - 5) ( x - 5)  =  0

Settting each factor to 0 and solving and we have that   x = 5   ( one solution )

2x^2 - 8x - 8 = -8    add 8  to both sides

2x^2  -  8x  =  0      factor

2x ( x - 4)  =  0

Set each factor to 0 and solve and   x  =  0   or  x = 4   Feb 15, 2018