Найдите корни квадратного трехчлена x2−2x−24

6
-4
с дискриминанта

10) 4x^4-17x^2+4=0 |t=x²
      4t²-17t+4=0
       D=(-17)²-4*4*4=289-64=225=15²
       t1=(17+15):8=32:8=4      t2=(17-15):8=2:8=1/4
       x²=4                                 x²=1/4
       x1=2    x2=-2                   x3=-1/2      x4=-1/2
     
11) 4x^4 -37x^2+9=0 |t=x²
      4t²-37t+9=0
      D=(-37)²-4*4*9=1369-144=1225=35²
      t1=(37-35):8=2:8=1/4     t2=(37+35):8=72:8=9
      x²=1/4                             x²=9
      x1=1/2      x2=-1/2          x3=3       x4=-3

12) x^4-7x^2+12=0 |t=x²
      t²-7t+12=0
     D=(-7)²-4*1*12=49-48=1
     t1=(7+1):2=8:2=4                 t2=(7-1);2=6:2=3
     x²=4                                      x²=3
     x1=2      x2=-2                      x3=√3        x4=-√3
    
13) x^4-11x^2+18=0|t=x²
      t²-11t+18=0
      D=(-11)²-4*1*18=121-72=49=7²
     t1=(11-7):2=4:2=2                t2=(11+7):2=18:2=9
     x²=2                                     x²=9
     x1=√2      x2=-√2                  x3=3      x4=-3
 
  14) x^4-5x^2+4=0 |t=x²
        t²-5t+4=0
        t1=1                           t2=4
        x²=1                           x²=4
        x1=1     x2=-1            x3=2       x4=-2
      
  15) x^4-7x^2+12=0 |t=x² -пример уже решён - см. 12)
  16) x^4-3x^2+2=0 |t=x²
        t²-3t+2=0
        t1=1                   t2=2
        x²=1                   x²=2
       x1=1      x2=-1     x3=√2      x4=-√2
      
17) x^4-5x^2+6=0|t=x²
     t²-5t+6=0
     t1=2                               t2=3
    x²=2                                x²=3
     x1=√2     x2=-√2            x3=√3       x4=-√3 

x^2=t
10) 4x^4-17x^2+4=0 
4t^2-17t+4=0
t1=1/4    t2=4
x1=-1/2  x2=1/2  x3=2  x4=-2
11) 4x^4 -37x^2+9=0  
4t^2-37t+9=0
D=1369-144
t1=1/4    t2=9
x1=1/2  x2=-1/2  x3-3  x4=-3
12) x^4-7x^2+12=0 
t^2-7t+12=0
t1=3  t2=4
x1=√3  x2=-√3  x3=-2  x4=213) x^4-11x^2+18=0 
t^2-11t+18=0
t1=9  t2=2
x1=3  x2=-3  x3=√2  x4=-√2
14) x^4-5x^2+4=0  
t^2-5t+4=0
t1=4  t2=1
x1=-2  x2=2  x3=1  x4=-1
15) x^4-7x^2+12=0
t^2-7t+12=0
<span class="_wysihtml5-temp-placeholder"></span>t1=3  t2=4
x1=√3  x2=-√3  x3=-2  x4=2
16) x^4-3x^2+2=0 
t^2-3t+2=0
t1=2 t2=1
x1=√2 x2=-√2  x3=-1  x4=1
17) x^4-5x^2+6=0
t^2-5t+6=0 t1=3 t2=2  x1=√2 t2=-√2 x3=√3 x4=-√3