Question

write a quadratic equation whose sum of zero is a two and product of the row is -8​

Answer 1

Answer:

Step-by-step explanation:

A quadratic polynomial whose one zero is 6 and sum of the zeroes is 0, then quadratic will be :

(a) x²– 6x + 2

(b) x² – 36

(c) x²– 6

(d) x² – 3

ANSWER :–

• Quadratic equation is x² - 36 = 0

GIVEN :–

• One zero of quadratic equation is 6.

• Sum of zeros = 0

TO FIND :–

• Quadratic equation = ?

SOLUTION :–

▪︎ Let's assume a quadratic equation ax² + bx + c = 0 have root 6 and β .

• According to the question –

⇒ Sum of roots = 6 + β

⇒ 0 = 6 + β

⇒ β = -6

⇨ Hence , roots are 6 and -6.

▪︎ We know that a quadratic equation –

⮕ x² - [sum of roots](x) + (Product of roots) = 0

• Now put the values –

⇒ x² - (6 - 6) x + (6)(-6) = 0

⇒ x² - (0)x - 36 = 0

⇒ x² - 36 = 0