Asked by Mike
Is this right to start?
3 + x (x + 1) = (1 + x)^2
3 + x^2 + x = 2+2x
Obviously I can move the 3 over and the x (-1-x) but how do you isolate x completely?
3 + x (x + 1) = (1 + x)^2
3 + x^2 + x = 2+2x
Obviously I can move the 3 over and the x (-1-x) but how do you isolate x completely?
Answers
Answered by
Reiny
no, you have an error on the right side
3 + x (x + 1) = (1 + x)^2
3 + x (x + 1) = (1 + x)(1 + x)
3 + x^2 + x = 1 + x + x + x^2
subtract x^2 from both sides, and simplify the rest
3 + x = 1 + 2x
2 = 2x
x = 1
If the x^2 term had not dropped out, you would have had
a quadratic equation. It looks like your lessons are leading up
to that topic
3 + x (x + 1) = (1 + x)^2
3 + x (x + 1) = (1 + x)(1 + x)
3 + x^2 + x = 1 + x + x + x^2
subtract x^2 from both sides, and simplify the rest
3 + x = 1 + 2x
2 = 2x
x = 1
If the x^2 term had not dropped out, you would have had
a quadratic equation. It looks like your lessons are leading up
to that topic
Answered by
Mike
Oh woops, I totally messed up there, Thanks for that! Yeah I believe we are next topic too.
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