# Can we show $(b^2 - 2ac)x^2 + 4(a + c)x = 8$ always has real roots? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
Prove that the roots of $(b^2 - 2ac)x^2 + 4(a + c)x = 8$ are real if $a$, $b$, $c$ are real. Find the conditions that the roots are equal.