Answer:
x₁ = 5 + √11
2
x₂ = 5 - √11
2
Step-by-step explanation:
quadratic formula is given by
x = -b ±√b² - 4ac
2a
a = 2, b = -10, c = 7
x = -(-10) ± √-10² - 4*2*7
2*2
x = 10 ± √100 - 56
4
x = 10 ± √44 = 2(5 ± √11) = 5 ± √11
4 4 2
x₁ = 5 + √11
2
x₂ = 5 - √11
2
