Write the quadratic equation in general form. (x - 3)^ 2 = 0

2 answers:

5 0

The answer is: x² – 6x + 9 = 0 .
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Explanation:
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Given: (x – 3)² = 0 ; write as: general form: "ax² + bx + c = 0"; a ≠ 0 .

Note: (x – 3)² = (x – 3)(x – 3) = x² – 3x – 3x + 9 = x² – 6x + 9 ;
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Rewrite: (x – 3)² = 0 ; →
as: x² – 6x + 9 = 0 ; which is our answer.
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→ x² – 6x + 9 = 0 ; is in "general form", or "standard equation format"; that is: " ax² + bx + c = 0 "; (a ≠ 0) ;
→ in which:
a = 1 (implied coefficient, since anything multiplied by "1" is that same value);
b = -6;
c = 9
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Kisachek [45]3 years ago

5 0

Easy
expand
(x-3)^2=0
(x-3)(x-3)
foil
first: x time x=x²
outter: -3 times x=-3x
inner:x times -3=-3x
last: -3 times -3=9
add them
x²-3x-3x+9=0
x²-6x+9=0

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