Form another quadratic equation whose roots are twice the roots of the quadratic equation 2x2 + 3x + 1 = 0
Explanation:
To form a quadratic equation whose roots are k times 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/2)2 + 3(x/2) + 1 = 0
⇒ x2/2 + 3x/2 + 1 = 0
⇒ x2 + 3x + 2 = 0
Hence, option (c).
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