Question

Medal!



Find the x-intercept of the following quadratic equation.

Answer 1

\[\large x^2 + 5\]

Answer 2

@Nnesha

Answer 3

x-intercept is a point where graph intersect the x-axis when y =0
so \[\large\rm 0=x^2+5\] solve for x
and remember (x-intercept is the same thing as solution zeros )so you can use discriminant to find out what kind of solution u r going to get

Answer 4

can i do:
\[\large x^2 + 0x + 5 = 0 \rightarrow \frac{ -0 \pm \sqrt{0 - 4(5)} }{ 2 } \rightarrow \frac{ \sqrt{-20} }{ 2 }\]

i don't even know if this is correct

Answer 5

that looks good

Answer 6

wouldn't this be no solution?

Answer 7

now as you see there is a negative sign under the root so you're going to get imaginary solution

Answer 8

can*

Answer 9

\(\huge\color{reD}{\rm b^2-4ac}\) `Discriminant`
if ` b^2-4ac > 0` then there are 2 real zeros

if ` b^2-4ac = 0` then there is one real root
if ` b^2-4ac < 0` then you will get two complex roots (no -x-intercept)

Answer 10

real roots means graph will touch the x-axis