Solve The Quadratic Equation by the Square Root Method.

(x + 2)^2=25

x=-7, x=3

Step-by-step explanation:

Seperate into possible cases

Solve the equation

x = 3    or x = -7

Step-by-step explanation:

(x + 2)^2=25

Take the square root of each side

sqrt((x + 2)^2)=sqrt(25)

x+2 = ± 5

Subtract 2 from each side

x+2-2 = -2 ±5

x = -2 +5  or x = -2 -5

x = 3    or x = -7

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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