Question

Solve, and leave your answer correct to 2 dc: 2(x – 1) (x – 5) = 5.

Answer 1

x² - 5x - X + 5 = 2.5

x² - 6x + 2.5 = 0

X = (6 ± √36 - 4*1*2.5)/2

x = 6 ± 4)/2
therefore X will be 5 and 1 respectively

Answer 2

➡️Answer:

$x_{1}= 11.09\\\\x_{2} = 0.45$

➡️Solution:

$2(x - 1)(x - 5) = 5 \\ \\ 2( {x}^{2} - 5x - x + 5) = 5 \\ \\ 2 {x}^{2} - 10x - 2x + 10 = 5 \\ \\ 2 {x}^{2} - 12x + 10 - 5 = 0 \\ \\ 2 {x}^{2} - 12x + 5 = 0$
Now solve this equation by Quadratic formula

$x_{1,2} = \frac{ - b ± \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_{1,2} = \frac{ 12 ± \sqrt{144 - 40}}{4} \\ \\ x_{1,2} = \frac{12 ± \sqrt{104} }{4} \\ \\ x_{1,2} = \frac{12 ± 10.20}{4} \\ \\ x_{1} = \frac{12 + 10.20}{4} \\ \\ x_{1}= 11.09 \\ \\ x_{2} = \frac{12 - 10.20}{4} \\ \\ x_{2} = 0.45$

Hope it helps you.