Write The Quadratic Equation Whose Roots Are 2 And 3.

Sol:

Let ‘m’ and ‘n’ be the roots

m = 2

n = 3

Sum of the roots = m + n

= 2 + 3

= m + n = 5

Product of the roots = m * n

= 2 * 3

= m * n = 6

Standard form is x^{2} – (m + n)x + mn = 0

= x^{2} – (5)x + 6 = 0

= x^{2} – 5x + 6 = 0

Therefore, the quadratic equation is x^{2} – 5x + 6 = 0

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