Question

if m and n are zeroes of eqation ax^2+ 5x+c ,find the value of a and c when m+n-mn=10

Answer 1

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Answer 2

Answer:

The answer is \dfrac{1}{2} and 5.

Step-by-step explanation:

Given that 'm' and 'n' are the zeroes of the quadratic polynomial ax^2-5x+c.

We are to find the value of 'a' and 'c' if m + n = mn = 10.

From the given information, we can say that 'm' and 'n' are the roots of the equation ax^2-5x+c=0.

Therefore, we have

m+n=-\left(-\dfrac{5}{a}\right)\\\\\Rightarrow 10=\dfrac{5}{a}\\\\\Rightarrow a=\dfrac{1}{2},

and

Thus, the value of a is \dfrac{1}{2} and the value of c is 5.