Question

What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a? (1 point) x = the quantity of 5 plus or minus the square root of 29 all over 2 x = the quantity of negative 5 plus or minus the square root of 29 all over 2 x = the quantity of 5 plus or minus the square root of 21 all over 2 x = the quantity of negative 5 plus or minus the square root of 21 all over 2

Answer 1

`x=(5\pm√(29) )/(2)`

Explanation:

for the general quadratic equation

`ax^2+bx+c=0`

we use the following formula to find its solution:

`x=(-b\pm√(b^2-4ac) )/(2a)`

in our case we would have a=1, b=-5, c=-1, so:

`x=(-(-5)\pm√((-5)^2-4(1)(-1)) )/(2(1))=(5\pm√(25+4) )/(2)=(5\pm√(29) )/(2)`