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scZoUnD [109]
2 years ago
5

Solve the following quadratic equation for all values of x in simplest form. 3(4x + 1)2 – 37 = 5

Mathematics
1 answer:
motikmotik2 years ago
8 0

Answer:

Step-by-step explanation:

Add 37 to both sides (to combine like terms):

3(4x + 1)^2 = 42

Reduce this by dividing both sides by 3:

(4x + 1)^2 = 14

Taking the square root of both sides results in:

4x + 1 = ± √14, or

4x = -1 ± √14

Solve for x by dividing both sides by 4:

       -1 ± √14

x = ----------------

              4

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