how to form a quadratic equation ax2 + bx + c = 0 with these roots?
a) 4 and 9
b)-5 only
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The roots of the quadratic equation ax2 + bx + c = 0, a ≠0 are given by the following formula: In this formula, the term b2–4ac is called the discriminant. If b2–4ac = 0, then the equation has a single (repeated) root. If b2–4ac > 0, the equation has two real roots.
mannatmarya:
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a) here roots are m=4 and n=9
so m+n= 4+9= 13/1 = -b/a
mn= 4×9 = 36/1=c/a
so, a=1 b= -13 c= 36
therefore; ax2 +bx+c=0
x2+-13x+36=0
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