Question

What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a? (1 point) x = the quantity of 3 plus or minus the square root of 5 all over 2 x = the quantity of negative 3 plus or minus the square root of 5 all over 2 x = the quantity of 3 plus or minus the square root of 13 all over 2 x = the quantity of negative 3 plus or minus the square root of 13 all over 2

Answer 1

Explanation:

x² - 3x - 1 = 0

a = 1, b = -3, c = -1

x₁ = (3 + sqrt(-3² - 4(1(-1))))/(2(1))

x₁ = (3 + sqrt(9 + 4))/2

x₁ = (3 + sqrt(13))/2

x₁ = 3.302...

x₂ = (3 - sqrt(-3² - 4(1(-1))))/(2(1))

x₂ = (3 - sqrt(9 + 4))/2

x₂ = (3 - sqrt(13))/2

x₂ = -0.302...