Q6)) As first student, got the roots as 6 and 8, then formulate the quadratic equation she had mde
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Answer:
Correct option is B)
A's quadratic equations was
x
2
−(5−3)x+5×(−3)=0
x
2
−2x−15=0
B's quadratic equations was
x
2
−(1−3)x+1×(−3)=0
x
2
+2x−3=0
Since A made a mistake in the constant term and B made a mistake in coefficient of x, therefore the correct equation was
x
2
−2x−3=0
⇒(x−3)(x+1)=0
⇒x=3,−1
∴ Roots of the correct equation are 3,−1.
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