Question

If the sum of the zeros of the quadratic polynomial kx^2+2x+3k is equal to the product of its zeros,then the value of k is?....plz answer with explanation..plz​

Answer 1

Answer:

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Answer 2

Given :-

▪ The sum of the zeroes of the quadratic polynomial, p(x) = kx² + 2x + 3k is equal to the product of its zeroes.

To Find :-

▪ Value of k.

Solution :-

For a quadratic polynomial ax² + bx + c , the sum and product of zeroes can be calculated as -b/a and c/a.

Here, It is given that the sum and product of zeroes are equal. Which means, -b/a = c/a

Comparing the given quadratic polynomial with the standard form of quadratic polynomial, p(x) = ax² + bx + c , we get

• a = k ; b = 2 ; c = 3k

So, We have

⇒ -(2)/k = 3k / k

⇒ -2 = 3k

⇒ k = -2/3

∴ The value of k is -2/3 when the sum and product of zeroes are equal.

Some Information :-

☞ A quadratic polynomial having zeroes ɑ and β is in the form x² - (ɑ + β)x + ɑβ

☞ Zeroes of a quadratic polynomial can be found using the quadratic formula or completing square method.

⇒ Quadratic equation = { -b ± √(b² - 4ac) } / {2a}