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Mathematics
Problem
Which of the following quadratic equations correctly models the statement: "The sum of the squares of two consecutive integers is 85," where
x
x
x
denotes the smaller integer? a)
2
x
2
+
2
x
=
85
2x^{2}+2x=85
2
x
2
+
2
x
=
85
b)
x
2
+
2
x
−
85
=
0
x^{2}+2x-85=0
x
2
+
2
x
−
85
=
0
c)
2
x
2
+
4
x
−
81
=
0
2x^{2}+4x-81=0
2
x
2
+
4
x
−
81
=
0
d)
2
x
2
+
2
x
+
1
=
85
2x^{2}+2x+1=85
2
x
2
+
2
x
+
1
=
85
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