Question

solve the equation -4,-1+2+.....+x=437.find the value of x​

Answer 1

Answer:

$x = 19$

Step-by-step explanation:

Hey Mate,

Here

$a = - 4$

And

$c.d = - 1 + 4$

$c.d = 3$

Now we Know ,

Sum of A.p is equal To,

$s \frac{}{n} = \frac{n}{2} ( 2a + (n - 1)d)$

Here N=X

Sn= 437

Put the Values,

$437 = \frac{x}{2} ( - 8 + (x - 1)3)$

$437 = \frac{x}{2} ( - 8 + 3x - 3)$

$437 \times 2 = x( - 11 + 3x)$

$874 = - 11x + 3 {x}^{2}$

$3 {x}^{2} - 11x - 874 = 0$

$a = 3 \: \: \: \: \: b = - 11 \: \: \: c = - 874$

By Using Quadratic Formula,

$x = \frac{ - b \frac{ + }{} \sqrt{ {b}^{2} - 4ac} }{2a}$

Now Put the Value,

$x = \frac{11 \frac{ + }{} \sqrt{121 + 10488} }{6}$

$x = \frac{11 \frac{ + }{} \sqrt{10609} }{6}$

$x = \frac{11 \frac{ + }{} 103}{6}$

$x = \frac{11 - 103}{6} \: \: \: \: or \: \: x = \frac{11 + 103}{6}$

$x = \frac{ - 92}{6} \: \: \: or \: \: x = \frac{114}{6}$

$x = - 15.33 \: \: \: \: or \: x = 19$

So -15.3 is neglected as the series go in the positive Side So,

The Value of x is 19..

Hope it Helpsss!!!!!!!

Answer 2

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