Question

Solve for x the quadratic equation
${x}^{2} - 4x - 8 = 0$
Give your answer correct to two significant figures​

Answer 1

answer

explaination

x2 – 4x – 8 = 0

x2 – 4x = 8

x2 – 4x + 4 = 8 + 4

x2 – 4x + 4 = 12

(x – 2)^2 = 12

$\sqrt{(x - 2) {}^{2} } = \sqrt{12 } \\ x - 2 = + - \sqrt{4 \times 3} \\ x - 2 = + - 2 \sqrt{3 } \\ x = 2 + - 2 \sqrt{3}$

hope it's help you