Please help me with this

(x+3)² = 64

Step-by-step explanation:

(x+a)² = b

so, let's see the details of the square calculation :

x² + 2ax + a² = b

so, now we have in our problem the specific equation

x² +3x - 69 = -3x - 14

now, let's group and combine all expressions of x

x² + 6x - 69 = -14

compare to the general square equation.

x² is in both expressions. nothing else needs to be done for that part.

2ax must be equal to 6x.

=> 2a = 6

a = 3

so, our general swathe square equation turns then into

(x+3)² = b. or

x² + 6x + 3² = b

x² + 6x + 9 = b

now bring this again into our specific equation and see how we have to transform the remaining numbers to keep the equation true, and to show us b :

x² + 6x + 9 - 78 = -14 (because 9-78 is again -69)

x² + 6x + 9 = 64

=> b = 64

so, the form (x+a)²=b for our specific equation is

(x+3)² = 64

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

answer: 72: 111

step-by-step explanation: