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mezya [45]
2 years ago
8

(x+3)^2+4=46 what is the solution of this equation

Mathematics
2 answers:
lorasvet [3.4K]2 years ago
7 0

Step-by-step explanation:

(x + 3)² + 4 = 46

(x + 3)² = 42

x + 3 = ±sqrt(42)

x = ±sqrt(42) - 3

x1 = sqrt(42) - 3 = 3.480740698...

x2 = -sqrt(42) - 3 = -9.480740698...

I am Lyosha [343]2 years ago
4 0

Answer:

x = -3 <u>+</u> √42

Step-by-step explanation:

1) Expand the square

2) Distribute
3) Distribute

4) Distribute

5) Combine like terms

6) Add the numbers

7) Move terms to the left side

8) Subtract the numbers

9) Use the quadratic formula

10) Simplify

11) Separate the equations

12) Solve

Therefore, the solution of this equation is x = -3 <u>+</u> √42

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