Question

X^2-488x+4780 find the factors

Answer 1

you could do this by trial and error (to find two numbers that multiply to 4780 and add to -488)

or you could use the quadratic formula

Answer 2

in this case a = 1, b = -488 and c = 4780

Answer 3

Do u know any numbers

Answer 4

\[\Large x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\]


\[\Large x = \frac{-(-488)\pm\sqrt{(-488)^2-4(1)(4780)}}{2(1)}\]


\[\Large x = \frac{488\pm\sqrt{238144-(19120)}}{2}\]


\[\Large x = \frac{488\pm\sqrt{219024}}{2}\]


I'll let you finish

Answer 5

I got x=10 and x=478

Answer 6

Thanks for Your help it was really helpful and useful I understand this now

Answer 7

sry i was afk

the two solutions are x=10 or x=478, so you are correct

this means that the two numbers are -478 and -10 (you flip the signs)

so

-478 + (-10) = -488

and

-478 * (-10) = 4780

which means

x^2-488x+4780

factors to

(x - 478)(x - 10)

Answer 8

Yes