Answered

Join the conversation on IDNLearn.com and get the answers you seek from experts. Our experts provide prompt and accurate answers to help you make informed decisions on any topic.

Solve by completing the square

Solve By Completing The Square class=

Sagot :

TheUnknownScientistidn

Answer:

The answer is (-6 + √41), (-6 – √41)

Step-by-step explanation:

We are given an equation

  • x² + 12x = 5

Subtract 5 from both side we get,

x² + 12x – 5 = 5 – 5

x² + 12x – 5 = 0

we get the equation in the form of

  • ax² + bx + c = 0

Here, a = 1, b = 12, c = (-5)

Now, Add and subtract (b/2a)² we get,

x² + 12x + (12/2)² – (12/2)² – 5 = 0

x² + 12x + (6)² – (6)² – 5 = 0

(x + 6)² – 36 – 5 = 0

(x + 6)² – 41 = 0

Now, add 41 both side we get,

(x + 6)² – 41 + 41 = 0 + 41

(x + 6)² = 41

√(x + 6)² = √41

x + 6 = ±√41

x = -6 + √41, -6 – √41

Thus, The roots of the equation is

(-6 + √41) and (-6 – √41).

-TheUnknownScientist 72

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.