Find the value of ${17 x}^{7} + x^{6} + x$ , if $x = 4$ .

Open in App

Solution

$17 x^{7} + x^{6} + x$

$= x (17 x^{6} + x^{5} + 1)$

$= 4 (17 \times 4^{6} + 4^{5} + 1)$

$= 4 (17 \times 4096 + 1024 ‬ + 1)$

$= 4 (69632 ‬ + 1024 ‬ + 1)$

$= 4 \times 70657 ‬ = 282628 ‬$

Suggest Corrections

Similar questions

x = 9 - 4 \sqrt{5}

x^{6} + \frac{1}{x^{6}}

x = CiS θ

(x^{6} + \frac{1}{x^{6}})

17 x^{7} + x^{7} + x = ?

x = 7

If $x + \frac{1}{x} = 3$ , find the value $x^{6} + \frac{1}{x^{6}}$ .

{(x + \frac{1}{x} + 1)}^{6} = a_{0} + (a_{1} x + \frac{b_{1}}{x}) + (a_{2} x^{2} + \frac{b_{2}}{x^{2}}) + . . . + (a_{6} x^{6} + \frac{b_{6}}{x^{6}})

a_{0}

Join BYJU'S Learning Program