Quadratic equation calculator
Quadratic equation has the basic form: ax2+bx+c=0Enter the quadratic equation's coefficients a, b, and c of its basic standardized form. A solution of quadratic equations is usually two different real or complex roots or one double root — the calculation using the discriminant.
Calculation:
(k+1)2=(k−3)∗(4∗k−2) −3k2+16k−5=0 3k2−16k+5=0 a=3;b=−16;c=5 D=b2−4ac=162−4⋅3⋅5=196 D>0 k1,2=2a−b±D=616±196 k1,2=616±14 k1,2=2.666667±2.333333 k1=5 k2=0.333333333 Factored form of the equation: 3(k−5)(k−0.333333333)=0
Solution in text:
-3k2+16k-5=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 196
D > 0 ... The equation has two distinct real roots
k1 = 5
k2 = 0.3333333
P = {5; 0.3333333}