If $a^2 + b^2 + c^2 + 170 = 2 (8a + 5b - 9c)$, then the value of $\sqrt{4a+8b-c}$ will be :
Answer & explanation
Correct answer: option 3
If $a^2 + b^2 + c^2 + 170 = 2 (8a + 5b - 9c)$,
then the value of $\sqrt{4a+8b-c}$ will be = ?
we can find the values of the variables by =
Coefficient of variables on right sides divide by coefficient of same variable on left side along with the signs as given below =
a = 8
b = 5
c = -9
Put them in the required equation,
$\sqrt{4a+8b-c}$= $\sqrt{4(8)+8(5)-(-9)}$
= $\sqrt{32+40+9}$ = $\sqrt{81}$ = 9