SOLUTION: Find all real solutions of the equation. (Use any method) a. 10y^2 - 16y + 5 = 0 b. 3x^2 + 2x + 2 = 0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all real solutions of the equation. (Use any method) a. 10y^2 - 16y + 5 = 0 b. 3x^2 + 2x + 2 = 0      Log On


   

Question 1014212: Find all real solutions of the equation. (Use any method)
a. 10y^2 - 16y + 5 = 0
b. 3x^2 + 2x + 2 = 0
Answer by ikleyn(52915) About Me  (Show Source):
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Find all real solutions of the equation. (Use any method)
a. 10y^2 - 16y + 5 = 0
b. 3x^2 + 2x + 2 = 0
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a. Use the quadratic formula. Two real solutions are

   x%5B1%5D = %288%2Bsqrt%2814%29%29%2F10, x%5B2%5D = %288-sqrt%2814%29%29%2F10.


b. No real solutions.

   The discriminant of the equation is negative: d = 2%5E2+-+4%2A3%2A2 < 0.