Question

Solve for y.
2y² + 7y=-5

Answer 1

Answer: y = -1 or y = -2.5

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Step-by-step explanation:

Add 5 to both sides and then apply the quadratic formula

`2y^2 + 7y = -5\\\\2y^2+7y+5 = 0`

`a = 2, b = 7, c = 5\\\\y = (-b\pm√(b^2-4ac))/(2a)\\\\y = (-7\pm√((7)^2-4(2)(5)))/(2(2))\\\\y = (-7\pm√(9))/(4)\\\\y = (-7\pm3)/(4)\\\\y = (-7+3)/(4) \ \text{ or } \ y = (-7-3)/(4)\\\\y = (-4)/(4) \ \text{ or } \ y = (-10)/(4)\\\\y = -1 \ \text{ or } \ y = -2.5\\\\`