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:
9∗(x−5)+9∗x=(x−5)∗x −x2+23x−45=0 x2−23x+45=0 a=1;b=−23;c=45 D=b2−4ac=232−4⋅1⋅45=349 D>0 x1,2=2a−b±D=223±349 x1,2=11.5±9.340771 x1=20.840770846 x2=2.159229154 Factored form of the equation: (x−20.840770846)(x−2.159229154)=0
Solution in text:
-x2+23x-45=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 349
D > 0 ... The equation has two distinct real roots
x1 = 20.8407708
x2 = 2.1592292
P = {20.8407708; 2.1592292}