Answer:
The value of a which equation have 2 , - [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Given expression as :
2 a - 4 x = 4 - a² × x
The equation lies in the interval ( - 8 , - 2 )
∵ equation lies in the interval , so it must satisfy the equation
So , 2 a - 4 × ( - 8 ) = 4 - a² × ( - 8 )
Or, 2 a + 32 = 4 + 8 a²
Or, a + 16 = 2 + 4 a²
So, equation can be written as :
4 a² - a - 14 = 0
Or, 4 a² - 8 a + 7 a - 14 = 0
Or, 4 a ( a - 2 ) + 7 ( a - 2 ) = 0
Or, ( a - 2 ) ( 4 a + 7 ) = 0
∴ a = 2 And - [tex]\frac{7}{4}[/tex]
Hence The value of a which equation have 2 , - [tex]\frac{7}{4}[/tex] Answer
