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14.07.2020 •
Mathematics
Select the two values of x that are roots of this equation.
2x - 5 = -3x2
O A. X = 1
B. x= -1
C. X = 3
D. x =
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Ответ:
x = -
, x = 1
Step-by-step explanation:
Given
2x - 5 = - 3x² ( add 3x² to both sides )
3x² + 2x - 5 = 0 ← in standard form
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 5 = - 15 and sum = + 2
The factors are - 3 and + 5
Use these factors to split the x- term
3x² - 3x + 5x - 5 = 0 ( factor the first/second and third/fourth terms )
3x(x - 1) + 5(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(3x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = -![\frac{5}{3}](/tpl/images/0704/8917/dcb5a.png)
x - 1 = 0 ⇒ x = 1
Ответ: