Question

How do I factorize:x^2-5x+3

Answer 1

does the question specifically asks you to factorize?

Answer 2

I need to find x intercepts so I need to know how to factorize it.

Answer 3

since the last term is +3 the only possible factors are:

(x+1)(x+3)<--produces 4x as middle term
AND
(x-1)(x-3)<--produces -4x as middle term

therefore..it's not factorable...sadly..you have to use quadratic formula..

Answer 4

is that: \[(-b \pm \sqrt{b ^{2}-4ac})\div 2a\]

Answer 5

yup that's the one!

Answer 6

there are 2 x intercepts in the answer

Answer 7

since it's a quadratic equation..you expect that ;)

Answer 8

can you plz show me?

Answer 9

I can wait for a lon g time dont wry I'll be here

Answer 10

the quadratic equation it gives u 2 x intercept depending on parabola or hyperbola curve

Answer 11

can u plz show how?

Answer 12

your equation is x^2 - 5x + 3

a = 1

b = -5

c = 3

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

\[x = \frac{-(-5) \pm \sqrt{(-5)^2 - 4(1)(3)}}{2(1)}\]

now do you still need help?

Answer 13

that was easy

Answer 14

yes how did I get the x intercepts yet?

Answer 15

the x intercept would be the value of that x

Answer 16

you know how to solve that x right there right?

Answer 17

yes but I dont see how u got thst yet

Answer 18

then how would I get 2 x intercepts

Answer 19

hmm i see your point let us solve it then...

\[x = \frac{5 \pm \sqrt{25 - 12}}{2}\]
\[x = \frac{5 \pm \sqrt{13}}{2}\]

now do you see that \(\pm\) sign?

Answer 20

yup

Answer 21

\(\pm\) means plus AND minus

therefore \[x = \frac{5\pm \sqrt{13}}{2}\]

this means \[x = \frac{5 + \sqrt{13}}{2}\] AND \[x = \frac{5 - \sqrt{13}}{2}\]

so there are your TWO values