Solve (x + 4)2 – 3(x + 4) – 3 = 0 using substitution. u = select the solution(s) of the original equation.

x = (-5+√21) /2    or x = (-5-√21) /2

Step-by-step explanation:

We have given  the equation :

(x + 4)²– 3(x + 4) – 3=0

Put u = (x + 4) in the given equation we get,

u² -3u -3 = 0

Using quadratic equation we get,

u =  ( -(-3)±√(-3)²-4(1)(-3) ) /2(1)

u = (3±√21) /2

Then replace u by (x+4) we get,

(x+4) = (3±√21) /2

x+4 = (3±√21) /2

x = (3(3±√21) /2 +(-4)

x = (-5±√21) /2

x = (-5+√21) /2    or x = (-5-√21) /2 is the solution.

Step-by-step explanation:

For the equation use the substitution Then the equation will take look

Solve this quadratic equation:

Thus,

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x