Question

find the zeroes of the quadratic polynomial 5xsquare +10x and verify the relation between the zeros and the coefficient ​

Answer 1

Answer:

Step-by-step explanation:

5x^2+10x=0

x(5x+10)=0

x=0 or x= -2

The roots are 0 and -2

Relation between roots and coefficients

Sum of roots= -10/5= -2

Roots are 0, -2

Sum is 0+(-2)= -2

Product of roots= 0/5 = 0

Roots are 0, -2

Product is 0(-2)=0

Hence Verified.....

Answer 2

Answer:

5x² + 10x = 0

a = 5 , b = 10 , c = 0

Sum of zeros = -b/a = -10/5 = -2

Product of zeros = c/a = 0/5 = 0

5x² + 10x = 0 = 5x(x + 2) = 0 ⇒ either 5x = 0 (or) x + 2 = 0

So, x = 0/5 (or) x = 0 - 2

x = 0 (or) -2

Sum of zeros = -2 + 0 = -2

Product = 0 * -2 = 0

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