Solve the quadratic equation by completing the square
x² - 8x + 13 = 0

x = 4 ±

Step-by-step explanation:

Given

x² - 8x + 13 = 0 ( subtract 13 from both sides )

x² - 8x = - 13

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = - 13 + 16

(x - 4)² = 3 ( take the square root of both sides )

x - 4 = ± ( add 4 to both sides )

x = 4 ±

x = 4 + √3 or x = 4 - √3

Step-by-step explanation:

Use quadratic formula with a=1, b=-8, c=13.

x=−b ± √b2 − 4ac / 2a

x= −(−8) ± √(−8)2 − 4(1)(13) / 2(1)

x= 8 ± √12 / 2

x= 4 + √3 or x= 4 − √3

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

b

step-by-step explanation: