Question

PLEASE help.
state the value of the discriminant and then describe the nature of the solutions to

-16x^2-7x+11=0

Answer 1

discriminant =b^2-4ac

Answer 2

got it?

Answer 3

@tholland

Answer 4

if b^2-4ac>0 then two real solutions
if b^2-4ac=0 then one real solution
if b^2-4ac<0 then no real solution

Answer 5

so it has two real solutions? two imaginary solutions, or one real solution? the question is confusing to me

Answer 6

what value do you get for the discriminant?

Answer 7

b^2-4ac

Answer 8

thats not the value, that is a general formula; fill in the specific from the equation given to find the value

Answer 9

then i am not sure how to get the value

Answer 10

have you studied the material that this quiz is about?

Answer 11

the general setup of the quadratic equation is of the form

ax^2 +bx + c; use the equation given to determine that specific values for a b and c

Answer 12

-16 x^2 -7 x + 11
a x^2 +b x + c

use the equation given to define the values of a b and c ...

Answer 13

another way to learn about the discriminant and the roots (aka solutions)
is to look at the graph of your equation

if the graph of the equation crosses in 2 places on the x axis it has 2 solutions

if the graph of the equation crosses in 1 place on the x axis it has 1 solution

if the graph of the equation does not cross the x axis then it has no solution or aka complex solution
before graphing calculators were invented, mathematicians used the discriminant to figure out how many solutions a quadratic has without graphing it or solving for the roots