Use the discriminant to determine how many x-intercepts the graph of the equation has.

y = – 4x2 + 3x – 2

A.
three

B.
one

C.
two

D.
none

Question

Use the discriminant to determine how many x-intercepts the graph of the equation has.

 

            y = – 4x2 + 3x – 2

	
	
 
A.
	three
	
 
B.
	one
	
 
C.
	two
	
 
D.
	none

anonymous · Answer

@DecentNabeel

anonymous · Answer

inst it A

chillout · Answer

All right, so the discriminant of a quadratic equation of form ax²+bx+c is given by $\Delta=b^{2}-4ac$

anonymous · Answer

i'm getting three as the answer.

anonymous · Answer

@DecentNabeel ? what do you think

lynfran · Answer

none

anonymous · Answer

is she correct @DecentNabeel ?

anonymous · Answer

well i need proof

anonymous · Answer

hld on help me with 2 more and i will give you the medals

lynfran · Answer

check the graph at the bottom of this link https://www.symbolab.com/solver/trigonometric-equation-calculator/-4x%5E%7B2%7D%2B3x-2%3D0/?origin=enterkey

chillout · Answer

All right. Here's the thing. If the discriminant is over 0, it has 2 roots. If it's 0, one root. And below 0, complex roots.

chillout · Answer

As your discriminant is over 0, it should have 2 roots (x intercepts).

chillout · Answer

Oh, nevermind. I just did the calculation and it yields -23. So there are no real roots.

anonymous · Answer

you were right @LynFran