Question

Which of these is a solution to 3x^2+14=−37x?

a) x=+ 17
​b) x=− 17
​c) 3x= 3−1±i 17
​d) 3x= 31±i 17
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Answer 1

To solve the equation 3x^2+14=−37x, we can use the quadratic formula to find the solutions for x.The correct option is A.

Step-by-step explanation:

To find the solutions to the equation 3x^2+14=-37x, we need to rearrange the equation to the form ax^2+bx+c=0. In this case, a = 3, b = 37, and c = 14. We can then use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the values, we get:

x = (-(-37) ± √((-37)^2 - 4(3)(14))) / (2(3))

x = (37 ± √(1369 + 168)) / 6

x = (37 ± √(1537)) / 6

So, the solutions are:

a) x = (37 + √(1537)) / 6b) x = (37 - √(1537)) / 6