# SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Use the discriminant to determine the number of real solutions of the equation. 7 + 5z^2 = 2z

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 161257: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Use the discriminant to determine the number of real solutions of the equation. 7 + 5z^2 = 2zAnswer by Fombitz(13828)   (Show Source): You can put this solution on YOUR website!The discriminant for a quadratic equation is given by when the equation is in the form . . . Rearrange the equation, In your case, The discriminant is then, . . . The discriminant gives you information regarding the roots depending on its value. If , you have two distinct real roots. If , you have two coincident real roots. If , you have two complex roots (complex conjugates). . . . Since , you will have two complex conjugate roots.