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Earn +20 ptsQ: What is the roots of x squared - 13x equal 0?
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What is x squared plus 13x plus 12?
It's a quadratic expression: x²+13x+12 If, for example, x²+13x+12 = 0 then there are 2 roots, x=-1 and x=-12
What does 0 squared equal?
It equals 0. Zero times zero equals zero.
What is x squared plus 13x plus 36 equals 0 factor to?
Well, if that was a - 13X we could factor by inspection, but now the quadratic formula is needed. By inspection the discriminant yields two real roots. X^2 + 13X + 36 = 0 X = - b (+/-) sqrt(b^2-4ac)/2a a = 1 b = 13 c = 36 X = - 13 (+/-) sqrt[b^2 - 4(1)(36)]/2(1) X = - 13 (+/-) sqrt(169 - 144)/2 X = - 13 (+/-) sqrt(25)/2 X = [- 13 (+/-) 5]/2 X = - 4 ------------ X = - 9 -----------
X2 plus 13x plus 36 equals 0?
x2 + 13x + 36 = 0 so (x+4)(x+9) = 0 so that x = -4 or x = -9
Which equation has equal roots?
Lots, eg x2 - 2x + 1 = 0 which factorises as (x - 1)(x - 1) = 0
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