Question

The discriminat of the quadratic equation
4m²+pm + 25 =0 is zero the value of p is ?​

Answer 1

Step-by-step explanation:

here is your answer. hope it helps you

Answer 2

Answer:

p = 20 , - 20

Step-by-step explanation:

Given,

Value of discriminant is zero

To Find :-

Value of 'p'

How To Do :-

By using Discriminant formula we can find the value of 'p'.

Comparing general form of quadratic equation "am² + bm + c = 0"(m is variable) with given quadratic equation " 4m² + pm + 25 = 0".

→ We can say , Values of :-

a = 4 , b = p , c = 25

Formula Required :-

$Discriminant(\Delta)=b^2-4ac$

Solution :-

According to question 'Discriminant' is zero :-

→ 0 = (p)² - 4(4)(25)

0 = p² - 16(25)

0 = p² - 400

400 = p²

Applying square root on both sides :-

√400 = √p²

±20 = p

∴ Value of 'p' = 20 , - 20.

Know More :-

1) General form of Quadratic Equation is "ax² + bx + c = 0"

2) Sum of the roots of the Quadratic Equation is "-b/a"

3) Product of the roots of the Quadratic Equation is "c/a"