Quadratic equation calculator
Quadratic equation has the basic form: ax2+bx+c=0![eq2](/images/quadratic_equation2.png)
Calculation:
5∗n(n−1)=(n+3)∗(n+2) 4n2−10n−6=0 4=22 10=2⋅5 6=2⋅3 GCD(4,10,6)=2=2 2n2−5n−3=0 a=2;b=−5;c=−3 D=b2−4ac=52−4⋅2⋅(−3)=49 D>0 n1,2=2a−b±D=45±49 n1,2=45±7 n1,2=1.25±1.75 n1=3 n2=−0.5 Factored form of the equation: 2(n−3)(n+0.5)=0
Solution in text:
4n2-10n-6=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 196
D > 0 ... The equation has two distinct real roots
n1 = 3
n2 = -0.5
P = {3; -0.5}