Is the discriminant always an integer if a, b, and c are integers?

Because the value of b2 – 4ac is less than zero, this equation will not have real solutions. Our answer will be 2x2 – 4x + 5 = 0. If we inspect all of the other ... Jun 4, 2020 ... I wish I could use b^2-4ac>0 to check whether the people are real or not. Jul 14, 2023 ... When b2-4ac < 0 then there are no roots at all. Example: Find the discriminant of the equation x2+6x-5=0 1) Press [1] [sto ... The discriminant is 0, so the root is rational and the equation can be solved by factoring. In. , substitute: Since. , the equation has 2 real roots. b2 4ac>0. - b Vb2-4ac. - b = Vb2-4ac. = b2- (b2-4ac). 2a(− b = √b² - 4ac hooray to writers who report and share something right! Howard Brand. Suitland High School. Sep 12, 2024 ... 2. b2 - 4ac > 0. There are two distinct complex roots α 소 iβ. The general solution is y(x) = α1eα+iβx + α2eα−iβx which can be written as ... ... byĵ + bzk̂ Magnitudes: |a⃗|=√{ax2 +ay2+az2} |b⃗|=√{bx2 +by2+bz2} Scalar ... 4ac}}/{2a} Work (W), Mechanical Energy (E, Kinetic Energy (K)) ... Mar 4, 2018 ... Explanation: · ⇒ · + · + · 1 · = · 0 · ← · in standard form. with a=2,b=3 and c=1. ⇒b2−4a ... x b ? b2 4ac. 2a. , x b ?b2 4ac. 2a . Page 4. 4. Now, suppose b ¡ 0 but b2 " 4ac (meaning that b2 is far larger than 4ac). An example of a quadratic equation ... (2ax + b)2 = b2 − 4ac. ⇒. 2ax + b = ±. √ b2 − 4ac. ⇒. 2ax = −b ±. √ b2 − 4ac. ⇒ x = −b±. √ b2−4ac. 2a . This is the quadratic formula. 1Jason Zimba is a ...