Form another quadratic equation whose roots are 2 more than the roots of the quadratic equation 2x2 + 3x + 1 = 0
Explanation:
To form a quadratic equation whose roots are k more than the roots of ax2 + bx + c = 0, we need to substitute x with (x – k) in the original equation.
∴ The required equation is
2(x - 2)2 + 3(x – 2) + 1 = 0
⇒ 2(x2 – 4x + 4) + 3x – 6 + 1 = 0
⇒ 2x2 – 5x + 3 = 0
Hence, option (d).
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