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What are the solutions to the quadratic equation (5y + 6)² = 24?
O y = −6+2√6 and y = -6-2√6
5
5
O y = −6+2√5 and y = 6-2√5
5
5
○ y = - 4√6 and y = -8√6
5
5
0y = 4√6
5
and y =
8√6
5
what are the solutions



Answer :

sqdancefan

Answer:

  (a)  y = (-6 +2√6)/5  and  y = (-6 -2√6)/5

Step-by-step explanation:

You want the solutions to the quadratic (5y +6)² = 24.

Solution

Take the square root of both sides:

  5y +6 = ±2√6

  5y = -6 ±2√6 . . . . . . subtract 6

  y = (-6 ±2√6)/5 . . . . divide by 5

The solutions are ...

  • y = (-6 +2√6)/5
  • y = (-6 -2√6)/5

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