JAMB 1988 · UME · Q22✱✱

The solution of the quadratic equation px2+qx+b=0px^2 + qx + b = 0 is

Worked solution (try it first)
  1. Match px2+qx+b=0px^2 + qx + b = 0 with ax2+bx+c=0ax^2 + bx + c = 0: the x2x^2 coefficient is pp, the xx coefficient is qq and the constant is bb.
  2. The formula is x=−(x coefficient)±(x coefficient)2−4(x2 coefficient)(constant)2(x2 coefficient)x = \dfrac{-(x\text{ coefficient}) \pm \sqrt{(x\text{ coefficient})^2 - 4(x^2\text{ coefficient})(\text{constant})}}{2(x^2\text{ coefficient})}.
  3. Put in qq, pp and bb: x=−q±q2−4bp2px = \dfrac{-q \pm \sqrt{q^2 - 4bp}}{2p}, option C.

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