Question

quadratic equation
$x^2+19x+60=0$
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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

You need something like (x + a)(x + b), where a and b are numbers that may be positive or negative. The deal is that if you expanded that factorisation you would get x² + ax + bx + ab, that is, x² + (a + b)x + ab — which you need to be identical to the x² + 19x + 60 that you started with. So your (a + b) is 19 and your ab is 60, which leaves you asking: are there two numbers that add up to 19 but multiply to 60? I hope that in this case you will agree that there are, and there’s your answer — finish off from here by finding the two numbers and substituting for the a and b in the first sentence :)

(Note that since 19 and 60 are both positive here, so are your a and b)