Equation 80525

Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2]

Correct answer:

a =  2.5
b =  -9.5
c =  8
e : 2,5x^2-9.5x+8=0

Step-by-step explanation:

A=(1,1) B=(2,1) C=(3,2)  ax2+bx+c=y  a Ax2+b Ax+c=Ay a Bx2+b Bx+c=By a Cx2+b Cx+c=Cy a 12+b 1+c=1 a 22+b 2+c=(1) a 32+b 3+c=2  a+b+c=1 4a+2b+c=1 9a+3b+c=2  Pivot:Row1Row3 9a+3b+c=2 4a+2b+c=1 a+b+c=1  Row294 Row1Row2 9a+3b+c=2 0.667b+0.556c=1.889 a+b+c=1  Row391 Row1Row3 9a+3b+c=2 0.667b+0.556c=1.889 0.667b+0.889c=0.778  Row3Row2Row3 9a+3b+c=2 0.667b+0.556c=1.889 0.333c=2.667  c=0.333333332.66666667=8 b=0.666666671.888888890.55555555555556c=0.666666671.888888890.55555556 8=9.5 a=923bc=923 (9.5)8=2.5  a=25=2.5 b=219=9.5 c=8
b=(9.5)=9.5
c=8
e:e=2,5x29.5x+8=0



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: