Please solve it it's math class 10 chapter 4 question 4 of ex.4.4
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Answers
Answer:
No real solution exists
Step-by-step explanation:
No real solution exists
x+y=20 and (x-4)(y-4)=48
by solving this two equations
(20-y-4)(y-4)=48
we will get complex roots when we solve the quadratic equation obtained
Let age of first friend = x years and let age of second friend = (20 − x) years
Four years ago, age of first friend = (x − 4) years
Four years ago, age of second friend = (20 − x) − 4 = (16 − x) years
According to given condition,
(x − 4) (16 − x) = 48
⇒ = 48
⇒
⇒
Comparing equation, with general quadratic equation , we get a = 1, b = −20 and c = 112
Discriminant = (1) (112) = 400 – 448 = −48 < 0
Discriminant is less than zero which means we have no real roots for this equation.
Therefore, the give situation is not possible.
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