MaxWong

8e + 3 (5-e) = 10

8e + 15 - 3e = 10 multiply inside the brackets

5e + 15 = 10 combine like terms

5e = 10 - 15 subtract 15 each side.

5e = -5 do the calculation

e = -1 divide by 5 each side...... and..... finally the answer!!

Use calculator.

sqrt(8529845840) $\approx$ 92357.1645298836575321

If you want the exact value......

8529845840=2⁴*5*1061*100493

So $\sqrt{8529845840}=\sqrt{2^4\times5 \times 1061 \times 100493}=4\sqrt{533115365}$

$f(x)\div (x-\sqrt3)\\=f(x)\div ((x^2-3)\div(x+\sqrt3))\\=f(x)\div (x^2-3)\times (x+\sqrt 3)$

$\text{We need to get f(x) into the form }(x-\sqrt{3})q(x)+r\\ \text{ so we need to find q(x) and r}$

First we need to divide x^3 + 5x^2 - 3x - 22 by x^2-3

Quotient = x                           Remainder = -22

So that $\dfrac{f(x)}{x^2-3}= x - \dfrac{22}{x^2-3}$

Then multiply this to x+sqrt3

$(x-\dfrac{22}{x^2-3})(x+\sqrt3)$

$= x^2 + \sqrt3x - \dfrac{22(x+\sqrt3)}{x^2-3}$

$= x^2+\sqrt3x-\dfrac{22}{x-\sqrt3}$

There we have found q(x) and r

q(x) = x^2 + sqrt3 x      r = -22

tan theta =500/3000

theta = atan 1/6$\approx 9.46°$

that isalready a polynomial

$5e^{3x}=60$

$e^{3x}=12$

$3x=ln 12$

$x=\dfrac{\ln 12}{3}$

360-33=327

Code for this calculator

10^(2-(-6))

10^-2-(-6)

=10^6-2

=10⁴

=10000

30 - 2(7+2) - 1

= 30 -14 -4 -1

= 11

same as electric pavlov's answer

sorry for bad typing I am on my phone