Quadratic equation calculator
Quadratic equation has the basic form: ax2+bx+c=0
Calculation:
q∗112/2/42=1+q2+q −q2+2.5q−1=0 q2−2.5q+1=0 a=1;b=−2.5;c=1 D=b2−4ac=2.52−4⋅1⋅1=2.25 D>0 q1,2=2a−b±D=22.5±2.25 q1,2=1.25±0.75 q1=2 q2=0.5 Factored form of the equation: (q−2)(q−0.5)=0
Solution in text:
-q2+2.5q-1=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 2.25
D > 0 ... The equation has two distinct real roots
q1 = 2
q2 = 0.5
P = {2; 0.5}