Answer:
x = [5 + 3√5]/2 or x = [5 -3√5]/2
Step-by-step explanation:
<u>Points to remember</u>
Solution of a quadratic equation ax² + bx + c = 0
x = [-b ± √(b² - 4ac)]/2a
<u>To find the solutions of given equation</u>
It is given x² - 5x - 5 = 0
here a = 1, b = -5 and c = -5
x = [-b ± √(b² - 4ac)]/2a
= [--5 ± √((-5)² - 4*1*-5)]/2*1
= [5 ± √(25 + 20)]/2
= [5 ± √(45)]/2
= [5 ± 3√5]/2
x = [5 + 3√5]/2 or x = [5 -3√5]/2