Question

Sole the equation x²+3x-2068=0 . Find x

Answer 1

Step-by-step explanation:

$\huge\boxed{\fcolorbox{cyan}{grey}{Solution:-}} \\ \\ \\ {x}^{2} + 3x - 2068 = 0$

comparing with ax^2 + bx +c = 0

$a = 1 \\ b = 3 \\ c = - 2068 \\</em><em> </em><em>\</em><em>\</em><em> </em><em>So</em><em>,</em><em> </em><em>\</em><em>:</em><em> </em><em>by</em><em> </em><em>\</em><em>:</em><em> </em><em>using</em><em> </em><em>\</em><em>:</em><em> </em><em>Quadratic</em><em> </em><em>\</em><em>:</em><em> </em><em>formula</em><em>.</em><em>.</em><em>.</em><em>\\ x = \frac{ - b + \: or \: - \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{ - 3 + \: or \: - \sqrt{8281} }{2} \\ x = \frac{ - 3 + \: or \: - 91}{2} \\ x = 44 \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: x = 47$

Answer 2

Answer:

$\large \underline{\boxed{\mathsf{x = 44\: or \: -47}}}$

Step-by-step explanation:

Given :

$\mathsf{P(x)\: = {X}^{2} + 3x - 2068 = 0}$

To find :

Value of X

Solution :

Now to find the value of X we will use Quadratic formula that is :-

$\boxed{\bigstar \; \mathsf{ x = \dfrac{ - b \: \pm \: \sqrt{ {b}^{2} - 4ac } }{2a}}}$

Where,

$\sf{a = 1 (coefficient \: of \: {x}^{2} )}$

$\sf{b = 3 (coefficient \: of \: x)}$

$\sf{c = -2068(Constant )}$

* In order to use Quadratic formula the Discriminate (D) Of the p(X) should be greater than or equal to zero.

Here,

$\mathsf{D = b^2 - 4ac}$

Now putting value of a , b and c we have --

$\mathsf{D = {3}^{2} - 4(1)(-2068)}$

$\mathsf{\implies 9 + 8272}$

$\mathsf{\implies D = 8281 \: > \: 0}$

* Thus as it's Greater than 0 we can use quadratic formula to find value of x

$\mathsf{ x = \dfrac{ - (3) \: \pm \: \sqrt{ {3}^{2} - 4(1)(-2068) } }{2(1)}}$

$\mathsf{ x = \dfrac{ -3 \: \pm \: \sqrt{ 8281 } }{2}}$

$\mathsf{ x = \dfrac{ -3 \: \pm \: 91 }{2}}$

Thus Now value of

$\mathsf{ x = \dfrac{ -3 \: + \: 91 }{2}\: or \dfrac{ -3 - 91}{2}}$

$\implies \mathsf{ x = \dfrac{ 88}{2}\: or \dfrac{ -94}{2}}$

$\implies \mathsf{ x = 44 \: or -47}$

Thus Required answer is

$\underline{\boxed{\mathsf{x = 44\: or \: -47}}}$