x1+x2=-b/a
x1.x2=c/a
x1²+x2²=(x1+x2)²-2(x1.x2)
Maka
1.)x²-3x-10=0
a.)-(-3)/1=3/1=3
b.)-10/1=-10
c.)(3)-2(-10)=3-(-20)=3+20=23
-----------------
2.)2x²-5x-4=0
a.)-(-5)/2=5/2=2,5
b.)-4/2=-2
c.)(2,5)-2(-2)=2,5+4=6,5
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Penyelesaian:
x1+x2=-b/a
x1.x2=c/a
x1²+x2²=(x1+x2)²-2(x1.x2)
Maka
1.)x²-3x-10=0
a.)-(-3)/1=3/1=3
b.)-10/1=-10
c.)(3)-2(-10)=3-(-20)=3+20=23
-----------------
2.)2x²-5x-4=0
a.)-(-5)/2=5/2=2,5
b.)-4/2=-2
c.)(2,5)-2(-2)=2,5+4=6,5