Solve by completing the square. Leave your answers in surd form.

$x^2-10x+2=0$

Solve by completing the square. Leave your answers in surd form.

$x^2+8x-1=0$

Solve by completing the square. Leave your answers in surd form.

$2x^2-4x-5=0$

Solve by completing the square. Leave your answers in surd form.

$2x^2+6x+3=0$

Solve by completing the square. Leave your answers in surd form.

$2x^2-8x-3=0$

Solve $\frac{5}{x+2}+\frac{3}{x-4}=2$. Leave your answers in surd form.

The diagram shows a right-angled triangle with sides $x \mathrm{m},(2x+5) \mathrm{m}$ and $10 \mathrm{m}$. Find the value of $x$. Leave your answer in surd form.

Find the real solutions of the equation ${\left(3x^2+5x-7\right)}^4=1$.

Solve using the quadratic formula. Give your answer correct to $2$ decimal places.

$x^2-10x-3=0$