Form a quadratic equation whose roots are equal in magnitude but opposite in sign to the roots of 2x2 - 3x - 6 = 0
Explanation:
To form a quadratic equation whose roots are equal in magnitude but opposite in sign to the given quadratic equations, we need to substitute x with -x in the given quadratic equation.
∴ The new quadratic equation is 2(-x)2 - 3(-x) - 6 = 0
⇒ 2x2 + 3x - 6 = 0
Hence, option (a).
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