Question

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

Answer 1

Answer :-

Given :-

• Roots of equation = 4 and - 5

To Find :-

• Quadratic equation

Solution :-

Let us find sum and product of the roots :-

→ Sum of roots = 4 + ( - 5 ) = -1

→ Product of roots = 4 × ( - 5 ) = -20

Also, we know that for quadratic equation :-

→ Sum of roots = -b / a

→ Product of roots = c / a

So,

→ -b / a = -1

→ b / a = 1

→ c / a = - 20

Assuming a to be 1 :-

→ b = 1

→ c = -20

General form of quadratic equation :- ax² + bx + c

Substituting the value of a, b and c :-

Quadratic Equation = x² + x - 20

Answer 2

Answer:

x2+4x-5=0

Step-by-step explanation:

compare with ax2+ bx+c=0

A=1

B= 4

C= -5