Solve the quadratic equation by completing the square. x^2−4x-10=0 First, choose the appropriate form and fill in the blanks wit

Question

2 years ago

13

Solve the quadratic equation by completing the square. x^2−4x-10=0 First, choose the appropriate form and fill in the blanks wit

h the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas.
Form:________________

Solution: x=

Mathematics

2 answers:

frozen [14] · Answer 1 · 2022-03-19T06:14:15+03:00

frozen [14]2 years ago

5 0

The answers are (4+(56^1/2))/2 and (4-(56^1/2))/2

Gelneren [198K] · Answer 2 · 2022-03-19T07:16:10+03:00

Gelneren [198K]2 years ago

5 0

X^2 - 4x - 10 = 0
x^2 - 4x = 10
x^2 - 4x + 4 = 10 + 4
(x - 2)^2 = 14
x - 2 = (+-) sqrt 14
x = 2 (+-) sqrt 14

x = 2 + sqrt 14 and x = 2 - sqrt 14 <== ur solutions