Question

If two roots of a quadratic equation are 2 and -1, then find the equation... ​

Answer 1

Quadratic equation

=> ax²+bx+c

or

=> x²+sum of zeroes(x)+ product of zeroes.

sum of zeroes => 2

product of zeroes=> (-1)

$fill \: the \: values \: in \: formula \\ \\ {x}^{2} + 2x + ( - 1) \\ \\ {x}^{2} + 2x - 1$

so the quadratic equation will be

x²+2x-1.......

Answer 2

Let the Roots be m and n

m = 2

n = -1

Sum of roots = m + n = 1

Product of Roots = m*n = -2

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

= x² - (m + n) x + (m*n)

= x² - x - 2

Ans = x² - x - 2

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I Hope This Will Help You