Without solving the following quadratic equation,
find the value of p for which the roots are equal.
px² - 4x +3=0
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Without solving the following quadratic equation,
find the value of p for which the roots are equal.
px² - 4x +3=0
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Verified answer
Answer:
4/3
Step-by-step explanation:
If the roots of this quadratic equation are equal-
then, b^2-4ac=0
then,
The general form of a quadratic equation is ax^2+bx+c=0
here,
a=p
b=-4 and
c=3
then
b^2-4ac=0
=》-4^2-(4×p×3)=0
=》16-12p=0
=》16=12p
=》12p=16
=》p=16/12
=》4/3
Hence,p=4/3
Answer:
Step-by-step explanation:
Given
To find
Solution
px² - 4x + 3 = 0
Comparing to ax²+ bx + c = 0
We get:
∴ Discriminant (D) = b² - 4ac
For the equation to have real and equal roots, we must have D = 0
So:
∴ p = 4/3