Form another quadratic equation whose roots are 1 less than the roots of the quadratic equation 2x2 + 3x + 1 = 0
Explanation:
To form a quadratic equation whose roots are k less than the roots of ax2 + bx + c = 0, we need to substitute x with (x + k) in the original equation.
∴ The require equation is
2(x + 1)2 + 3(x + 1) + 1 = 0
⇒ 2(x2 + 2x + 1) + 3x + 3 + 1 = 0
⇒ 2x2 + 7x + 6 = 0
Hence, option (a).
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