Question

A quadratic equations whose one root is 3 and the sum of the roots is 0 is

1 point

x2 + 3 = 0

x2 - 9 = 0

x2 + 9 = 0

x2 - 3 = 0

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Answer 1

Sum of zeroes = 0

One of the two zeroes is 3

So,

Sum of zeroes = 0

3 + x = 0

x = -3

Given, the zeroes of quadratic equation are -3 and 3

Sum of zeroes = 0

Product of zeroes = -9

Quadratic equation = x² - ( sum of zeroes )x + ( product of zeroes ) = 0

==> x² - (0)x - 9 = 0

==> x² - 9 = 0

Hence, Option B is the correct answer.