Medal will be given, Roy exclaims that his quadratic with a discriminant of –9 has no real solutions. Roy then puts down his pencil and refuses to do any more work. Create an equation with a negative discriminant. Then explain to Roy, in calm and complete sentences, how to find the solutions, even though they are not real

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Medal will be given, Roy exclaims that his quadratic with a discriminant of –9 has no real solutions. Roy then puts down his pencil and refuses to do any more work. Create an equation with a negative discriminant. Then explain to Roy, in calm and complete sentences, how to find the solutions, even though they are not real

Mathematics
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How do express a calm sentence in writing?
general form of a quadratic equation is ax^2 + bx + c and the discriminant is square root(b^2-4ac) you can pick three values of a, b, and c such that square root(b^2-4ac) is positive
we can still use the quadratic formula to find the solutions, like we would with real solutions, but we'll need to evaluate the nonreal discriminant

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actually Roy is correct btw surely, there are "imaginary" solutions but Roy said there were no "real" ones, and he's correct
Here is the quadratic formula: \(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) It is the solution to a quadratic equation of the form: \(ax^2 + bx + c = 0\) Notice that the quadratic formula contains the part \(b^2 - 4ac\) inside the root. If you pick numbers for a and c that when multiplied together and subtracted from \(b^2\) will result in a negative number, a negative discriminant, then the solutions to the quadratic equation will definitely be complex.
Okay, Thank you.
yeah, listen to mathstudent's answer, it's better than mine

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