TBQ - Show the given statement — task. Mathematics CBSE, Class 9 New.

PDF chapter test TRY NOW

If both \(x - 5\) and \(x - \frac{1}{5}\) are factors of \(px^2 + 26x + r\), show that \(p = r\).

Proof:

p x^{2} + 5 x + r = k ((x - i) (x - \frac{i}{i}))

p x^{2} + 5 x + r = k (x^{2} - \frac{i}{i} x + i)

Comparing the coefficients of \(x^2\)

Comparing the constant terms

From the above two equations, we get

\(p = r\)

Hence proved.

[Note: Enter '\(+\)', \(-\)' or '\(=\)' sign if necessary.]

Did you find an error?

11. TBQ - Show the given statement