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Consider the equation
MATHEMATICS · Single correct · GCSE · Mathematics · Algebra · Algebra
Problem
Consider the equation
5
x
2
+
(
2
k
−
3
)
x
+
2
=
0
5x^2 + (2k-3)x + 2 = 0
5
x
2
+
(
2
k
−
3
)
x
+
2
=
0
. If
k
>
2
k>2
k
>
2
and the equation has equal roots, which of the following is the value of
k
k
k
? (a)
3
2
−
10
\dfrac{3}{2}-\sqrt{10}
2
3
−
10
(b)
3
2
+
5
\dfrac{3}{2}+\sqrt{5}
2
3
+
5
(c)
3
2
+
10
\dfrac{3}{2}+\sqrt{10}
2
3
+
10
(d)
4.5
4.5
4.5
Related theory
Nature of Roots
Quadratic Equations
Algebra
Nature of roots (discriminant)
Solving Quadratic Equations
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