What are the roots of the quadratic equation (x-1)(4-x)=2

Question

tkhunny · Answer

That '2' is no good.  There must be '0' over there.  Make it so.

anonymous · Answer

on simplifying
4x-x^2-4+x=2 -----> x^2-5x+6=0 ---->(x-3).(x-2)=0
x=2 and x=3

radar · Answer

Do you need to see all the steps of the simplication process?

anonymous · Answer

Yeah

mathmale · Answer

Hey, Craig, what HunnyHunk is driving at, in more formal language, is that we need to re-write the given quadratic equation in standard form before attempting to solve it.  Start with (x-1)(4-x)=2.  Multiply the two binomials together.  Then re-arrange all the terms on the left side according to decreasing powers of x.

mathmale · Answer

A quadratic equation in standard form looks like ax^2 + bx + c = 0.

mathmale · Answer

Note that @Rohitkhanna has already done exactly what I am recommending.

radar · Answer

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