Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \mathrm{R}
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x^{2}-8x+7=x^{2}-8x+16-9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
x^{2}-8x+7=x^{2}-8x+7
Subtract 9 from 16 to get 7.
x^{2}-8x+7-x^{2}=-8x+7
Subtract x^{2} from both sides.
-8x+7=-8x+7
Combine x^{2} and -x^{2} to get 0.
-8x+7+8x=7
Add 8x to both sides.
7=7
Combine -8x and 8x to get 0.
\text{true}
Compare 7 and 7.
x\in \mathrm{C}
This is true for any x.
x^{2}-8x+7=x^{2}-8x+16-9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
x^{2}-8x+7=x^{2}-8x+7
Subtract 9 from 16 to get 7.
x^{2}-8x+7-x^{2}=-8x+7
Subtract x^{2} from both sides.
-8x+7=-8x+7
Combine x^{2} and -x^{2} to get 0.
-8x+7+8x=7
Add 8x to both sides.
7=7
Combine -8x and 8x to get 0.
\text{true}
Compare 7 and 7.
x\in \mathrm{R}
This is true for any x.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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