j015
30.01.2020 •
Mathematics
Use the “complete the square” method to rewrite the equation ax 2 + bx + c = 0 in the form ( x – p ) 2 = q .
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Ответ:
Ответ:
x^2 + (b/a)x + c/a = 0
x^2 + 2(b/a)x + c/a - b/a = 0
x^2 + 2(b/a)x = b/a - c/a
x^2 + 2(b/a)x + (b/a)^2 = b/a - c/a + (b/a)^2
(x + b/a)^2 = b/a - c/a + (b/a)^2
p = -b/a
q = b/a - c/a + (b/a)^2
Ответ:
10 1/2 = 10 2/4
2 1/2 = 2 2/4
4 1/4 = 4 1/4
2 2/4 + 4 1/4 = 6 3/4
10 2/4 - 6 3/4 = 3 3/4