Question

How are solutions, roots, and x-intercepts of a quadratic related? NEED HELP ASAP PLZ :D please explain I'm stuck

Answer 1

HELP ME PLZZZZ

Answer 2

Heeeeeelllllppppppp seriously mathematicians of the

Answer 3

WORLD

Answer 4

all of them mean the same thing

Answer 5

@baru but i need an explanation :( they have different purposes but I need to know how they connect

Answer 6

when we say: x intercept, its usually in a graph context
that is
y=\(ax^2+bx+c\)

x intercepts are points where y=0

Answer 7

solution is when we solve for 'x'

\(ax^2+bx+c=0\)

(find a value of x which fits that equation)

Answer 8

so you see, both mean the same thing

Answer 9

its still confusing but that helped :)
but what about roots? how are they related to the solutions and intercepts. I thought the root was the solution to the discriminant.

Answer 10

roots=solution=intercepts
they are three different words that mean the same thing...

Answer 11

discriminant helps you find the solution(or root or x intercept)

Answer 12

ohhhhh kk then so the discriminant solution is the same as the x intercepts ?

Answer 13

"discriminant" is a formula, using which you find solution/root/x intercept

Answer 14

all are same

Answer 15

@baru ok then thanks :)

Answer 16

@lochana i know but i needed an explanation :)

Answer 17

well, they all are same.

roots are "a" and "b". where
(x - a)(x - b) = 0

this is what we do with discriminant and all other things. we are trying to find "a" and "b"

now go back to (x-a)(x-b) =0
in order to (x-a)(x -b) be zero, either (x-a) or (x - b) has to be zero.

so
x-a = 0
x - b = 0

that means
x = a
x = b

is I draw this in a graph, "a" and "b" will be like this