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2x -6x+q is not an equation, it is a polynomial.
Given that the equation 2x 2-6x+q=0 can be formulated into the form of (x-p) 2=7, then x2-6x+q=2 can be formulated as (x-p) 2=( ).
Solution: 2x 2-6x+q=0, x 2-3x+q 2=0, (x-3 2) 2=-q 2+9 4, so p=3 2, -q 2+9 4=7, so q=-19 2.
x 2-6x+q=2,(x-3) 2=11-q=41 2, which cannot be converted to the form of (x-p) 2=( ). can be transformed into (x-2p) 2=41 2.
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Analysis: Equation x -6x+q 0 can be reduced to:
x-3)²-9+q=0
i.e. (x-3) 9 q
From the original equation of the title can be formulated into the form (x-p) = 7.
Then p=3 and 9 q 7 i.e. q=2
So x -6x+q=2 can be reduced to: x -6x=0 to obtain: (x-3) -9=0
i.e. (x-3) 9
So x -6x+q=2 can be formulated as (x-p) = (9) Hehe, children's shoes, next time pay attention to don't pay attention to ** problem! This is a waste of your time and an unnecessary drain on the energy of others!
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The equation x2-6x+q=0 can be formulated in the form of (x-p)2=7, which is easy to know p=3 and q=2
So x2-6x+q=2 is x2-6x+2=2, which can be formulated into (x-3) 2=9
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(x-p)^2=7
x^2-2px+p^2-7=0
i.e.: -6=-2p, p 2-7=q
Available: p=3, q=2
So x 2-6x+q=2 can be combined into (x-3) 2=9
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Solution: (x-p) 2=7
x^2-2px+p^2-7=0
i.e.: -6=-2p, p 2-7=q
Available: p=3, q=2
So x 2-6x+q=2 can be combined into (x-3) 2=9
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I've given you some advice, like this question should be written in its entirety (there are no answer options), but you ignored it.
I have seen that other people have answered you with wrong questions, or the process is not standardized, and I have given you very standardized answers, and you do not [accept the answers].
Therefore, I have not answered many of your questions, but there are indeed good ways to answer this question, so let's answer it and see your attitude.
Solution 1: x -6x + q = 0 i.e. (x-3) = 9-q This equation is again (x-p) = 7
9-q=7x-6x+q=2, i.e., (x-3) =2+(9-q)=2+7=9, so the form is (x-3) =9.
Solution 2: x -6x + q = 0 i.e. (x-3) = 9-q This equation is again (x-p) = 7
q = 3x -6x + q = 2 i.e. x -6x + 2 = 2
That is, x -6x + 9 = 9
Therefore the form sought is (x-3) = 9.
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1.Simplification (x-p) 2 = 7
Get x22px
p2=7, i.e. x2
2pxp2-7
0, and then according to the corresponding equal coefficients can be obtained:
The squares of the front coefficients are all 1, which must be equal; The coefficients to the power of x to the power of 1 are -2p and -6, respectively, i.e., -6
2p, i.e. p3; Finally, there are the coefficients of both sides of x to the power of 0, which are p2-7 and q, i.e., p2
7=q, and because of the above, we get p
3, i.e. 3*3-7=q
q=2;Draw conclusions
3, q=2;
3.Substituting p3, q=2 into x2-6x+q=2 gives x2-6x+2
2, ie. x2-6x
0;It should be possible to match x* (x-6);
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Analysis: It is known that the equation x2-6x+q=0 can be formulated into the form of (x-p)2=7, and an equation about q can be obtained by formulating x2-6x+q=0, and the value of q can be obtained, and then the form of x2-6x+q=2 formula can be determined by using the matching method
Solution: x2-6x+q=0
x2-6x=-q
x2-6x+9=-q+9
x-3)2=9-q
According to the title, p=3,9-q=7
p=3,q=2
x2-6x+q=2 is x2-6x+2=2
x2-6x=0
x2-6x+9=9
x-3)2=9
i.e. (x-p)2=9
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Analysis: It is known that the equation x2-6x+q=0 can be formulated into the form of (x-p)2=7, and an equation about q can be obtained by formulating x2-6x+q=0, and the value of q can be obtained, and then the form of x2-6x+q=2 formula can be determined by using the matching method Solution: x2-6x+q=0
x2-6x=-q
x2-6x+9=-q+9
x-3)2=9-q
According to the title, p=3,9-q=7
p=3,q=2
x2-6x+q=2 is x2-6x+2=2
x2-6x=0
x2-6x+9=9
x-3)2=9
i.e. (x-p)2=9
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Knowing that the equation x 2-6x+q=0 can be matched to (x-p) 2=7, p can be found according to the above equation
x-p)^2=7
i.e. x 22pxp 2
2px=6x
p=3x^2
2pxp^2-7=
x^2-6x+qq=
p^2-7=2
So x 2-6x+q=2
x^2-6x
x^2-6x=0
x^2-6x+9=9
x_3)^2=9
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Solution: Because: (x-p) 2=7
So: x 2-2px + p 2-7 = 0
Because x2-6x+q=0 can be combined with (x-p) 2=7, so: 2p=6 is p=3
p 2-7=q, i.e. 3 2-7=q
q=2So: x 2-6x+q=2, i.e.: x 2-6x=0x 2-6x+9-9=0
x-3)^2=9
That is, x 2-6x+q=2 can be combined into the form of (x-3) 2=9.
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From x 2-6x+q=0, it can be formulated into the form of (x-p) 2=7, then x 2-6x+q is equivalent to (x-p) 2-7;So (x-p) 2-7=x 2-6x+q is brought into x 2-6x+q=2 to get (x-p) 2-7=2
So it can be matched.
x-p) 2=9.
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