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19.08.2020 •
Mathematics
HELP WILL GIVE 40 POINTS AND BRAINLIEST Solve these two (second-degree) quadratic equations by factoring.
& ![x^{2}+9x+14=0](/tpl/images/1723/2617/917d1.png)
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Ответ:
Hi there! Hopefully this helps!
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Answer for|
|![2x^{2} + 6x = 0](/tpl/images/0724/8478/9d661.png)
|
|First we factor out x
\/
To find equation solutions, solve
and ![2x+6 = 0](/tpl/images/0724/8478/0b668.png)
|
\/
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer for|
|
|![x^{2}+ 9x + 14 = 0](/tpl/images/0724/8478/71b41.png)
|
|To solve the equation, factor
using formula
To find
and
, set up a system to be solved.
|
\/
|
\/
Since
is positive,
and
have the same sign. Since
is positive,
and
are both positive. List all such integer pairs that give product 14.
1, 14
2, 7
|
\/
Calculate the sum for each pair.
1 + 14 = 15
2 + 7 = 9
|
\/
The solution is the pair that gives sum 9.
|
\/
Rewrite factored expression
using the obtained values.
|
\/
To find equation solutions, solve
and
.
|
\/
Ответ:
Step-by-step explanation:
First equation: 2x^2 + 6x = 0 factors into 2x(x + 3) = 0, so either x = 0 or x = -3.
Second equation: x^2 + 9x + 14 = 0 factors into (x + 2)(x + 7) = 0. Thus, either x = -2 or x = -7
Ответ:
5 - (49 ÷ 1 - 5) × 2 + 9 - 3
5 - 44 x 2 + 9 - 3
5 - 88 + 9 - 3
-83 + 9 - 3
-74 - 3
= -77
6)
(2 + 76 ÷ 1 + 9) + 4 - 3 × 9
(2 + 76 + 9) + 4 - 3 × 9
87 + 4 - 3 × 9
87 + 4 - 27
91 - 27
= 64
7)
5 × 5 - 7 + 82 ÷ (2 × 1) + 5
5 × 5 - 7 + 82 ÷ 2 + 5
25 - 7 + 82 ÷ 2 + 5
25 - 7 + 41 + 5
18 + 41 + 5
59 + 5
= 64
8)
7 × 7 + 1 + 16 ÷ 8 - (6 - 7)
7 × 7 + 1 + 16 ÷ 8 - 6 + 7
49 + 1 + 16 ÷ 8 - 6 + 7
49 + 1 + 2 - 6 + 7
50 + 2 - 6 + 7
52 - 6 + 7
46 + 7
= 53
♧