Find the roots of the equation 5x²-6x-2 = 0 by the method of prime factorisation using splitting the middle term.
Class 10th Maths.
Answers
Answered by
1
Step-by-step explanation:
5x²-6x-2=0
x²-6/5x-2/5=0
(x)²-2×x×3/5+(3/5)²-(3/5)²-2/5=0
(x-3/5)²-9/25-2/5=0
(x-3/5)²-9/25-10/25=0
(x-3/5)²-19/25=0
(x-3/5)²-(√19/5)²=0. (a²-b²)=(a+b)(a-b)
(x-3/5+√19/5)(x-3/5-√19/5)=0
(x-3+√19/5)(x-3-√19/5)=0
(x-3+√19/5)=0,x=3-√19/5
(x-3-√19/5)=0,x=3+√19/5
I hope it will help you mark me.
Answered by
0
.
Step-by-step explanation:
5x
2
−6x−2=0⇒x
2
−
5
6
x−
5
2
=0⇒x
2
−
5
6
x=
5
2
⇒x
2
−2×
5
3
x+(
5
3
)
2
⇒(x−
5
3
)
2
=
25
10
+
25
9
⇒x−
5
3
=±
5
19
⇒x=
5
±
19
+3
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