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Mathematics
Problem
1. Find the roots of the following quadratic equations by factorisation: (i)
x
2
−
3
x
−
10
=
0
x^{2}-3 x-10=0
x
2
−
3
x
−
10
=
0
(ii)
2
x
2
+
x
−
6
=
0
2 x^{2}+x-6=0
2
x
2
+
x
−
6
=
0
(iii)
2
x
2
+
7
x
+
5
2
=
0
\sqrt{2} x^{2}+7 x+5 \sqrt{2}=0
2
x
2
+
7
x
+
5
2
=
0
(iv)
2
x
2
−
x
+
1
8
=
0
2 x^{2}-x+\frac{1}{8}=0
2
x
2
−
x
+
8
1
=
0
(v)
100
x
2
−
20
x
+
1
=
0
100 x^{2}-20 x+1=0
100
x
2
−
20
x
+
1
=
0
(i)
x
2
−
3
x
−
10
=
0
x^{2}-3 x-10=0
x
2
−
3
x
−
10
=
0
(ii)
2
x
2
+
x
−
6
=
0
2 x^{2}+x-6=0
2
x
2
+
x
−
6
=
0
(iii)
2
x
2
+
7
x
+
5
2
=
0
\sqrt{2} x^{2}+7 x+5 \sqrt{2}=0
2
x
2
+
7
x
+
5
2
=
0
(iv)
2
x
2
−
x
+
1
8
=
0
2 x^{2}-x+\frac{1}{8}=0
2
x
2
−
x
+
8
1
=
0
(v)
100
x
2
−
20
x
+
1
=
0
100 x^{2}-20 x+1=0
100
x
2
−
20
x
+
1
=
0
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