How can we use the discriminant to solve inequalities involving quadratic expressions?

The answer is statement 1 only, which would be selection A. A graph that meets the criteria expressed above would be: -x^2 + x - 1. Hence, the nature of the roots α and β of equation ax2 + bx + c = 0 depends on the quantity or expression (b2 – 4ac) under the square root sign. We say this ... Detailed step by step solution for k=(4ac-b^2)/(4a) The discriminant, b2 - 4ac, offers valuable information about the "nature" of the roots of a quadratic equation where a, b and c are rational values. It quickly ... Mar 4, 2018 ... Explanation: · ⇒ · + · + · 1 · = · 0 · ← · in standard form. with a=2,b=3 and c=1. ⇒b2−4a ... The discriminant of a quadratic is the expression inside the radical of the quadratic formula. b2−4(ac) b 2 - 4 ( a ... Feb 2, 2020 ... Overview of the discriminant from quadratic formula and its interpretation. Click here to see all quadratic formula videos: ... 2 )2 - b2. 4 + c. Quadratic formula: the roots of ax2 + bx + c are -b 소. /b2 - 4ac. 2a . Exponent rules: ab · ac = ab+c ab ac = ab−c. (ab)c = abc a1/b = b. Jan 5, 2022 ... (-12+√(b^2-4ac))/2a. (where a = 1, b = 5, c = 3). How do I write a ... Δ = b^2 - 4ac; x = (-b ± √Δ)/2a. And the most important one, in ... ... b2​=a(x+2ab​)2 ... −(b2 − 4ac) = 4ac − b2. The formula for h has a denominator of 2a; double ...