Question

find the zeros and the and verify the relation between zeros and coefficient of x square - 9​

Answer 1

GiveN :

• Equation is x² - 9

To FinD :

• Zeros of the polynomial and we have to verify relationship between zeros and coefficient of the given equation.

SolutioN :

1) We have to find zeros of the equation

⇒x² - 9 = 0

⇒x² = 9

⇒x = √(9)

⇒x = ± 3

$\therefore$ Zeros of polynomials are +3 and -3

_____________________________

As we know that the general form of quadratic equation is ax² + bx + c

On comparing we get,

• a = 1
• b = 0
• c = -9

Now, formula for Sum of zeros is :

➠ Sum of zeros = -b/a

⇒3 + (-3) = -0/1

⇒3 - 3 = 0

⇒0 = 0

_____________________________

And formula for Product of zeros is :

➠ Product = c/a

⇒3*(-3) = -9/1

⇒-9 = -9

$\therefore$ The relationship is verified

Answer 2

Answer:

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