Quadratic equation calculator
Quadratic equation has the basic form: ax2+bx+c=0
Calculation:
3(z2−16z+48)=0 3z2−48z+144=0 3 ... prime number 48=24⋅3 144=24⋅32 GCD(3,48,144)=3=3 z2−16z+48=0 a=1;b=−16;c=48 D=b2−4ac=162−4⋅1⋅48=64 D>0 z1,2=2a−b±D=216±64 z1,2=216±8 z1,2=8±4 z1=12 z2=4 Factored form of the equation: (z−12)(z−4)=0
Solution in text:
3z2-48z+144=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 576
D > 0 ... The equation has two distinct real roots
z1 = 12
z2 = 4
P = {12; 4}