Question

if the following pattern is considered: 2²+1=3, 3²+1=10, 4²+1=17, 5²+1=26..then value of x+x²+1=170 will be:

a.12
b.15
c.14
d.13​

Answer 1

Answer:

neither of them

Step-by-step explanation:

here in the question 2²+1≠3

I don't know whether it is correct or not

Answer 2

Answer:

The required value of x according to the option is (d) 13

Step-by-step explanation:

As per the data given in the question,

There is a small error,

It should be 2²+1=5 in place of 2²+1=3

Now in this pattern we need to solve $x^{2} +1 = 170$. In this also x will be only one time in the question.

Now solving the equation,

$x^{2} +1=170\\x^{2} =170-1\\x^{2} =169\\x^{2}= \sqrt{169} \\x=+-13$

So, the required value of x according to the option is (d) 13

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