Mathematics: What are the exact solutions of x2 − 3x − 7 = 0? x = the quantity of 3 plus or minus the square root of 37 all over 2 x = the quantity of negative 3 plus or minus the square root of 37 all over 2 x = the quantity of 3 plus or minus the square root of 19 all over 2 x = the quantity of negative 3 plus or minus the square root of 19 all over 2

i think it is 69.62 I m sorry if it is wrong...

What are the exact solutions of x2 − 3x − 7 = 0?

saniyaf125

13.03.2022

The exact solution is:

x = the quantity of 3 plus or minus the square root of 37 all over 2

Step-by-step explanation:

We are asked to find the exact solution of the polynomial equation which is given by:

x^2-3x-7=0

We know that the solution of the equation are the possible value of x which is obtained on solving the equation and hence satisfy the equation.

Now, on solving the quadratic equation i.e. degree 2 polynomial equation using the quadratic formula:

That is any polynomial equation of the type:

ax^2+bx+c=0

is solved by using the formula:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here we have:

a=1, b=-3 and c=-7.

Hence, the solution of the equation is:

$x=\dfrac{-(-3)\pm \sqrt{(-3)^2-4\times (-7)\times 1}}{2\times 1}\\\\\\x=\dfrac{3\pm \sqrt{9+28}}{2}\\\\\\x=\dfrac{3\pm \sqrt{37}}{2}$

Hence, the solution is:

x = the quantity of 3 plus or minus the square root of 37 all over 2

( i.e.

$x=\dfrac{3\pm \sqrt{37}}{2}$ )

0,0(0 оценок)