Find the real solutions, if any, of the equation. Use the quadratic formula.
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D)no real solution

Question

Quizplus · Accepted Answer

Since the quadratic formula involves taking the square root of the discriminant ($b^2-4ac$), if the discriminant is negative, then the square root cannot be taken and there are no real solutions. In this case, none of the answer choices provide a discriminant that is greater than or equal to 0. Therefore, the correct answer is D, no real solution. Since the quadratic formula involves taking the square root of the discriminant (the expression under the square root in the formula), we must first find the discriminant of the given equation. The discriminant is:
b^2 - 4ac = (-3)^2 - 4(4)(-10) = 169
Since the discriminant is positive, there are two solutions, but since the coefficient of x^2 is negative, both solutions will be complex (not real). Therefore, the answer is D, no real solution.

Find the Real Solutions, If Any, of the Equation