the arithmetic mean of a+2 , a , a-2 is ( ). a) a+2 b) a c) a-2 d) 3a
Answers
Answer❣
Solution
=>8x²-14x-9=0
The above equation is in the form of a quadratic equation so,we simply factorise it by middle term splitting method.
Step by step explanation:
How to factorise..??
8x²-14x-9=0
The coefficient of x² is 8
-14x is a middle term and its coefficient is 14.
and the constant" is +3
Step-1 : Multiply the coefficient of x² by the constant -9×8= -72
Step-2 : Find two factors of 72 whose sum is equal to the coefficient of the middle term, which is -14.
=>8x²-14x-9=0
-9×8= -72
-72 = -18× 4
and -18+4= -14
=>8x²-14x-9=0
=>8x²-18x+4x-9=0
=>2x(4x-9)+1(4x-9)=0
=>(2x+1)(4x-9)=0
=>2x+1=0
=>2x= -1
=>x= -1/2
(4x-9)=0
=>4x=9
=>x=9/4
∴ x = -1/2 & x = 9/4
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Answer:
Arithmetic mean of a, b, c is a+b+c/3
So, (a+d) + (a-d) + a /3
= 3a/3
= a