Which of the following are solutions to the equation below?

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

6 0

Answer:

x = (√10 -3)/2 and (-√10 -3)/2

Step-by-step explanation:

(2x+3)^2 = 10

To solve the equation, take the square root of each side

sqrt((2x+3)^2) = ±√10

2x+3 = ±√10

Subtract 3 from each side

2x+3-3 = ±√10 -3

2x = ±√10 -3

Divide each side by 2

2x/2 = (±√10 -3)/2

x = (±√10 -3)/2

There are two solutions

x = (√10 -3)/2

and (-√10 -3)/2

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