Question

X^2-9x+20 the factor of this trinomial are(____)(___)

Answer 1

Answer:

(x-4) (x-5)

Step-by-step explanation:

* means multiply

first you figure out what 2 numbers

when added make 9

when multiplied make 20

those are 4 and 5

(x  4) (x  5)

in this case

-4 -5 make -9

-4 * -5 make 20

(x-4) (x-5)

Answer 2

Answer:

(x-4)(x-5)

Step-by-step explanation:

Firstly you need to use the second equation formula to get the value of x.

x= $\frac{-(-9)+- \sqrt{(-9)^{2}-4*1*20 } }{2*1}$

x= $\frac{9+- \sqrt{81-80 } }{2}$

x= $\frac{9+-1}{2}$

so,

x=$\frac{9+1}{2}$      x=5

and

x=$\frac{9-1}{2}$      x=4

When writing the factor, we have to change signs of 5 and 4. So it will be -5 and -4.

That's why the awnser is (x-4)(x-5)

Hope it helps!