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Rewrite the following quadratic equation in standard form and then solve by factoring out the GCF: 6x2=22x
The smaller solution is x= , and the larger solution is x= .
The smaller solution is x= , and the larger solution is x= .
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GPT 3.5
The equation is already in standard form.
Now let's solve by factoring out the GCF.
First, subtract 22x from both sides:
6x^2 - 22x = 0
Now, let's factor out the GCF, which is 2x:
2x(3x - 11) = 0
Now we have two factors equal to zero:
2x = 0 or 3x - 11 = 0
From the first factor:
2x = 0
x = 0
From the second factor:
3x - 11 = 0
3x = 11
x = 11/3
The smaller solution is x = 0, and the larger solution is x = 11/3.
Now let's solve by factoring out the GCF.
First, subtract 22x from both sides:
6x^2 - 22x = 0
Now, let's factor out the GCF, which is 2x:
2x(3x - 11) = 0
Now we have two factors equal to zero:
2x = 0 or 3x - 11 = 0
From the first factor:
2x = 0
x = 0
From the second factor:
3x - 11 = 0
3x = 11
x = 11/3
The smaller solution is x = 0, and the larger solution is x = 11/3.
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