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Text File | 2000-04-02 | 2.6 KB | 261 lines

>11.Quadratic equation. (Auxiliary variable) 2x^2≤-5x+3=0 MYSZEK 2xy EXAMPLE e t101 p10 t0 zr t1 p5 t0 v500 zrm k^ t2 p3 t0 kCm c2m cxm k^m c2m ;kSm spm k-m c5m cxm k+m c3m k=m c0m ke t3 p6 t0 kem p10 oxm slm2 k? t15 p12 t0 k?m p15 oxm ki t4 p2 t0 kim cD t5 p6 t0 cDm kn t6 p12 t0 knm ;kNm n(m k-m c5m n)m k^m c2m spm k-m c4m k*m c2m k*m c3m ke t7 p6 t0 kem p10 oxm sp t8 p2 t0 spm kbm5 c2m c4m slm3 ssm slm5 ssm c2m c5m slm2 ssm sem ssm c1m ke t9 p2 t0 kem p10 oxm ki t10 p3 t0 kim cxm k=m k/m sgm c5m k-m c1m sdm c4m spm co t11 p6 t0 com crm slm ssm shm ssm kcm sem kvm sgm slm kbm k+m sg t12 p3 t0 sgm ssm shm ssm kxm sgm sem ssm shm ssm kxm sdm ke t9 p2 t0 kem p10 oxm sh t13 p3 t0 shm slm c1m spm sgm ssm sem ssm kxm c2m kbm c1m sdm kbm c2m slm6 kbm c1m ;ke ;t16 ;p5 ;t0 ;kem ;p10 ;oxm kV t14 p5 t0 kVm p10 oxm p1 ;kNm ;kSm kCm ze t102 p10 t0 zxm zem e q BLURB 1`We are going to solve the equation: 1`#@2x^2≤-5x+3=0@. 2`#We open the &Equations& window and write the problem. 2`#To create an exponent we press &Shift&+&6& or 2`#the on-screen button. 3`As usual after formulating the problem we press &ENTER&. 15`We ask the program for a hint at the equality sign. 4`In a new line (&Insert&) ... 5`#we introduce the discriminant symbol @™@ 5`#(press the on-screen button or &Ctrl&+&D& keys). 6`#To let the program know that this is just an auxiliary 6`#variable we use the substitution symbol "$¨"$ 6`#(press the on-screen button or &Ctrl&+&=& keys). 6`#When we subsequently use a predefined variable again, 6`#we use the equality sign "$="$. 7`We press &ENTER& to check our solution. 8`We calculate @™@. 9`We press &ENTER& again. 10`Now we write the solutions. 11`#If the equation has more than one solution, 11`#we write them using the connective OR. 12`We can now remove the first two lines. 13`We transform the solutions. 14`#This is the final result. 14`#We press the &Answer& button. ;14`#We press "&ENTER&" ;14`#&without making any changes& in the expression. 16`We press &ENTER& again. 101`#We show how to use 2xy. 101``#"The presentation proceeds automatically." 101``#To move yellow panels use the mouse. 101`#Press ENTER on the KEYBOARD to continue. 102`#In a moment the &Examples& window will appear. 102`You can watch the same presentation again, or 102`#load the next example, or 102`#close the window and solve your own problem.