Question

Without solving the following quadratic eq.,find the value ofp p for which the roots are equal.
px^2 -4x +3 = 0​

Answer 1

Answer:

4/3

Step-by-step explanation:

Comparing the given equation with general equation, we get

a = p

b = -4

c = 3

For equal roots ,

=> b² - 4ac = 0

=> 16 - 4(p)(3) = 0

=> 12 p = 16

=> p = 4/3

Answer 2

Answer:

p = 4/7

Step-by-step explanation:

Given quadratic equation is

px² - 4x +c = 0

On comparing above equation with

ax² + bx + c = 0

we get,

a = p,

b= -4 and

c = 3

since, Given equation has equal roots. so, discriminant D will be zero.

i. e. D = b² - 4ac = 0

Therefore,

(-4)² - 4 × p × 3 = 0

= 16 - 12p = 0

= 12p = 16

= p = 16/12

= p = 4/3

Hence, The value of p is 4/3.

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