Question

What are the solutions of x2 = 8 – 5x??

Answer 1

B on edgen2020

Explanation:

Answer 2

Given: The equation
`x^2=8-5x`

we can write this as;

`x^2+5x-8=0`

The general equation of quadratic formula for
`ax^2+bx+c=0` where a, b and c are constant ;

then the solution for this equation is given by;

`x=(-b\pm√(b^2-4ac))/(2a)`

From the given equation;

we have a =1 , b =5 and c=-8

then, the solution of the given equation is;

`x=(-b\pm√(b^2-4ac))/(2a)=(-5\pm√(5^2-4(1)(-8)))/(2(1))`

or

`x=(-5\pm√(25+32))/(2)=(-5\pm√(57))/(2)`

therefore, the solution of the given equation is;

`x=(-5+√(57))/(2)` and
`x=(-5-√(57))/(2)`