Solve for x. 4(4x-8)^2+16=25

Let's solve your equation step-by-step.

4(4x−8)2+16=25

Step 1: Simplify both sides of the equation.

64x2−256x+272=25

Step 2: Subtract 25 from both sides.

64x2−256x+272−25=25−25

64x2−256x+247=0

Step 3: Factor left side of equation.

(8x−13)(8x−19)=0

Step 4: Set factors equal to 0.

8x−13=0 or 8x−19=0

x=13/8 or x=19/8

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true