the quadratic formula and the discriminant. the discriminant
TRANSCRIPT
The DiscriminantThe Discriminant is:
Way to solve: Number and kind of solutions
Positive and Square
Factor 2 Rational
Zero Factor 1 Rational
Positive not square
Quadratic formula or Complete the square
2 Irrational
Negative Don’t solve Imaginary Solutions
Using the discriminant
0134 2 xx
acb 4 nt discrimina 2
1 ,3 ,4 cba
)1)(4(4)3( nt discrimina 2
169 nt discrimina
52 nt discrimina roots real 2
Factor
Using the discriminant
54 2 xx
acb 4 nt discrimina 2
5 ,1 ,4 cba
)5)(4(4)1( nt discrimina 2
801 nt discrimina
79 nt discrimina
079
roots real 0 solvenot do
Using the discriminant
484 2 xx
acb 4 nt discrimina 2
0484 2 xx
)4)(4(4)8( nt discrimina 2
6446 nt discrimina
0 nt discrimina
root real 1 factor
Using the discriminant
9183 2 xx
acb 4 nt discrimina 2
09183 2 xx
)9)(3(4)18( nt discrimina 2
108324 nt discrimina
216 nt discrimina
roots irrational 2
formula quadraticor square thecomplete