Create a quadratic function given the roots -2/5 and -2
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Step-by-step explanation:
We will learn the formation of the quadratic equation whose roots are given.
To form a quadratic equation, let α and β be the two roots.
Let us assume that the required equation be ax2 + bx + c = 0 (a ≠ 0).
According to the problem, roots of this equation are α and β.
Therefore,
α + β = - ba and αβ = ca.
Now, ax2 + bx + c = 0
⇒ x2 + bax + ca = 0 (Since, a ≠ 0)
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