Answer:
Step-by-step explanation:
x² - 10x + 25 = 35
Move 35 to the left side of the equation
That's
x² - 10x + 25 - 35 = 0
x ² - 10x - 10 = 0
Using the quadratic formula solve the equation
That's
From the question
a = 1 , b = - 10 , c = - 10
Substitute the values into the above formula and solve
That's
[tex]x = \frac{ - - 10\pm \sqrt{( { - 10})^{2} - 4(1)( - 10) } }{2(1)} \\ = \frac{10\pm \sqrt{100 + 40} }{2} \\ = \frac{10\pm \sqrt{140} }{2} \\ = \frac{10\pm2 \sqrt{35} }{2} \\ = \frac{10}{2} \pm \frac{2 \sqrt{35} }{2} \\ = 5\pm \sqrt{35} [/tex]
We have the final answer as
Hope this helps you
