Math, asked by joel9037, 10 months ago

If the sum of the roots of a quadratic
equation is 5 and the product of
the roots is also 5, then the equation
t's​

Answers

Answered by vyaswanth
18

Step-by-step explanation:

GIVEN IT IS A QUADRATIC EQUATION

SUM OF ROOTS IS 5

 \alpha  +  \beta  = 5

product of roots is 5

 \alpha  \times  \beta  = 5

NOW QUADRATIC EQUATION IN ROOTS FORMULA IS

 {x}^{2}  - ( \alpha  +  \beta )x +  \alpha  \beta  = 0

 {x}^{2}  - 5x + 5 = 0

HENCE THE REQUIRED EQUATION IS

x^2-5x+5=0

(NOTE:- PLEASE MARK ME AS BRAINLEST AND PLEASE FOLLOW ME AND LEAVE A LIKE FIR MY ANSWER)

Answered by harshit3535
4

Answer:

Step-by-step explanation:

Step-by-step explanation:

GIVEN IT IS A QUADRATIC EQUATION

SUM OF ROOTS IS 5

product of roots is 5

NOW QUADRATIC EQUATION IN ROOTS FORMULA IS

HENCE THE REQUIRED EQUATION IS

x^2-5x+5=0

(NOTE:- PLEASE MARK ME AS BRAINLIEST AND PLEASE FOLLOW ME)

Similar questions