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kalibaby
12.02.2021 •
Mathematics
What are the solutions of 4x2 - 16X = 16x - 39
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Ответ:
x =
, x = ![\frac{13}{2}](/tpl/images/1115/2719/dcb1f.png)
Step-by-step explanation:
Given
4x² - 16x = 16x - 39 ( subtract 16x - 39 from both sides )
4x² - 32x + 39 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term, that is
product = 4 × 39 = 156 and sum = - 32
The factors are - 26 and - 6
Use these factors to split the x- term
4x² - 26x - 6x + 39 = 0 ( factor the first/second and third/fourth terms )
2x(2x - 13) - 3(2x - 13) = 0 ← factor out (2x - 13) from each term
(2x - 13)(2x - 3) = 0
Equate each factor to zero and solve for x
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =![\frac{3}{2}](/tpl/images/1115/2719/dbf42.png)
2x - 13 = 0 ⇒ 2x = 13 ⇒ x =![\frac{13}{2}](/tpl/images/1115/2719/dcb1f.png)
Ответ:
a.
Scottie = 30
Top of the lighthouse = 45 (30+15)
The boat = 0
The fish = -10
b.
10 + 30 = 40