lem (5x-3x)/x gives 0
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Answer:
You just have to use the quadratic formula.
=−±2−4‾‾‾‾‾‾‾‾√2
x
=
−
b
±
b
2
−
4
a
c
2
a
So, we proceed :
52+3−8=0
5
x
2
+
3
x
−
8
=
0
=>=−(3)±(3)2−4∗5∗(−8)‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√(2∗5)
=>
x
=
−
(
3
)
±
(
3
)
2
−
4
∗
5
∗
(
−
8
)
(
2
∗
5
)
=>=−3±9+160‾‾‾‾‾‾‾‾√10
=>
x
=
−
3
±
9
+
160
10
=>=−3±169‾‾‾‾√10
=>
x
=
−
3
±
169
10
=>=−3±1310
=>
x
=
−
3
±
13
10
Let’s take the first root :
=>1=−3+1310
=>
x
1
=
−
3
+
13
10
=>1=1010
=>
x
1
=
10
10
=>1=1
=>
x
1
=
1
Then, for the second root :
=>2=−3−1310
=>
x
2
=
−
3
−
13
10
=>2=−1610
=>
x
2
=
−
16
10
=>2=−1.6
=>
x
2
=
−
1.6
Thus, the two roots of this equation are 1 and -1.6.
Step-by-step explanation:
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