Question

Solve for y y²+y-14=-12

Answer 1

To solve for y in the quadratic equation y² + y - 14 = -12, we can use the quadratic formula. The solutions for y are (-1 + √57)/2 and (-1 - √57)/2.

Step-by-step explanation:

This expression is a quadratic equation of the form at² + bt + c = 0, where the constants are a = 1, b = 1, and c = -14. To solve for y, we can use the quadratic formula:

y = (-b ± √(b² - 4ac))/ (2a)

Plugging in the values, we have:

y = (-(1) ± √((1)² - 4(1)(-14))) / (2(1))

Simplifying further, we get:

y = (-1 ± √(1 + 56))/2

y = (-1 ± √57)/2

So, the solutions for y are:

y = (-1 + √57)/2

y = (-1 - √57)/2