Question

What are the solutions to the quadratic equation x2 - 10x + 18 = 0

Answer 1

x = 5 +
`√(7)`

x = 5 -
`√(7)`

Explanation:

The given quadratic equation is:

x^2 - 10x + 18 = 0

We can solve this equation using the quadratic formula, which states that for a quadratic equation of the form ax^2 + bx + c = 0, the solutions for x are given by:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = -10, and c = 18. Substituting these values into the quadratic formula, we get:

x = (-(-10) ± sqrt((-10)^2 - 4(1)(18))) / 2(1)

Simplifying the expression inside the square root, we get:

x = (10 ± sqrt(100 - 72)) / 2

x = (10 ± sqrt(28)) / 2

x = (10 ± 2sqrt(7)) / 2

Simplifying further, we get:

x = 5 ±
`√(7)`