<h3><u>Correct Questions :- </u></h3>
Find the values of P for which the quadratic equation 4x²+px+3=0 , provided that roots are equal or discriminant is zero .
<h3><u>Solution</u>:- </h3>
Let us Consider a quadratic equation αx² + βx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.
For equal roots
So,
Here,
Now,
Thus, the values of P for which the quadratic equation 4x²+px+3=0 are-
4√3 and -4√3.
Answer:
The only error is the inequality sign (<) so the correct equation will be
y ≤
Step-by-step explanation:
Because it is a solid line so we use the less than or equal sign
If the inequality is a dash line, we use the less than but NOT EQUAL
Paralell has same slope
perpendicular has slope that multiplies to -1
y=mx+b
m=slope
y=4x+1
paralell is
y=4x+b
find b
(2,0)
x=2
y=0
0=4(2)+b
0=8+b
minus 8
-8=b
y=4x-8
perpendicular
4 times what=-1
-1/4
y=-1/4x+b
(0,-3)
x=0
y=-3
-3=-1/4(0)+b
-3=b
y=-1/4x-3
paralel to y=4x+1 and goes through (2,0) is y=4x-8
perpendicular to y=4x+1 and goes through (0,-3) is y=-1/4x-3