Which phrase represents the algebraic expression ä 0+ ??
1 answer:
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<u>Answer-</u>
The absolute value of the difference of the two numbers was found to be 7.
<u>Solution-</u>
The given two numbers are, 2 and -5.
Between these two number,
larger number = 2
smaller number = -5
(∵ As 2 is right of -5 on the number line)
Therefore, it can be proved the order doesn't matter if we take the difference in absolute value.
$\implies 2^{2x}-2\cdot5^{2x}-(2^x)(5^x)>0$
let $2^x=a$ and $5^x=b$
So, $a^2-2b^2-ab>0$
divide by $b^2$, ($b^2>0$)
$\implies \left(\frac ab\right)^2-\left(\frac ab\right) -2>0$
this is a quadratic, in $\left(\frac ab\right)$, let it be $x$
So, $x^2-x-2>0$
Can you simplify it now?