Question

) If the Roots of a quadratic equation are 5 and -4 then form the

quadratic equation​

Answer 1

Roots of Quadratic equation = 5 and 4

$\text{We know that if m and n are the quadratic equation roots ax² + bx + c = 0,}$

$\text{The Sum of roots is (m + n) and the product of root is (mn).}$

$\text{The quadratic number is x²− (m + n) x + mn = 0.}$

$\text{It is Given That The Root of Quadratic equation us 5 and -4}$

Let m=5 and n=-4

Therefore the Sum of Root :

• (m+n)=5+(-4)=5-4=1
• (mn)=5×(-4)=-20

$\\\text{The quadratic number is x²− (m + n) x + mn = 0.}$

$\\\text{Putting the Value of m and n in Quadratic equation we get,}$

• →x²− (1) x + (-20) = 0.
• →x²− x -20 = 0

• Hence x²− x -20 = 0 is the Quadratic equation whose roots are 5 and -4.

Answer 2

Answer:

a+B=4-5=-1

a×B=4×-5=-20

x^2-(a+B)x+(aB)=0

x^2+x+(-20)=0

x^2+x-20=0