Answer :

The real solutions to the quadratic equation 4c^(2)+17c+12=0 are (-17 + √(97))/(8) and (-17 - √(97))/(8).

To find the real solutions of the quadratic equation 4c^(2) + 17c + 12 = 0, we can use the quadratic formula:

c = (-b ± √(b^2 - 4ac))/2a

Substituting the values a = 4, b = 17, and c = 12 into the formula, we get:

c = (-17 ± √(17^2 - 4(4)(12)))/(2(4))

Simplifying the expression further, we have:

c = (-17 ± √(289 - 192))/(8)

c = (-17 ± √(97))/(8)

Therefore, the solutions to the equation are:

c = (-17 + √(97))/(8) and c = (-17 - √(97))/(8).

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