Example 1.
Solution :
Solve : 3x2 + 10x = 25.
3x2 + 10x = 25 – 3x2 + 10x - 25 = 0
3x2 + 15x - 5x - 25 = 0
3.x (x + 5) - 5 (x + 5) = 0
(x + 5) (3x - 5) = 0
X + 5 = 0 or 3x - 5 = 0
5
x = - 5 or x =
3
5
... Solution set = -5,
3
(Zero Product Rule)
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Answers
Answered by
9
Answer:
Example 1.
Solution :
Solve : 3x2 + 10x = 25.
3x2 + 10x = 25 – 3x2 + 10x - 25 = 0
3x2 + 15x - 5x - 25 = 0
3.x (x + 5) - 5 (x + 5) = 0
(x + 5) (3x - 5) = 0
X + 5 = 0 or 3x - 5 = 0
5
x = - 5 or x =
3
5
... Solution set = -5,
3
Answered by
1
Answer:
we factorize the equation by taking
x
out of
x
2
−
3
x
=
0
x
2
−
3
x
=
0
x
(
x
−
3
)
=
0
Any value that is multiplied by 0, will give 0 as the answer.
1x0=0
2x0=0
3x0=0
From here, we know that in
x
(
x
−
3
)
=
0
,
x
=
0
and
(
x
−
3
)
=
0
(
x
−
3
)
=
0
x
=
3
Therefore
x
=
0
and
x
=
3
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