Rewrite the following quadratic equation in standard form and then solve by factoring out the GCF: 6x2=22x .(1 point)
The smaller solution is x=
, and the larger solution is x=
.
6x^2 - 22x = 0
The GCF of 6x^2 and -22x is 2x. Factoring out the GCF:
2x(3x - 11) = 0
Now we can set each factor equal to zero and solve for x:
2x = 0
x = 0
3x - 11 = 0
3x = 11
x = 11/3
Therefore, the smaller solution is x = 0 and the larger solution is x = 11/3.