Question

Help Asap! I have 30 minutes! 30 Points!

What is the value of x? (2x - 5) (5x - 10)
(No answers, you have to write the answers)

Answer 1

Help Asap! I have 30 minutes! 30 Points!
What is the value of x? (2x - 5) (5x - 10)
(No answers, you have to write the answers)


`(2x-5)(5x-10)= 0 \\ \\ the\ distributive\ property. \\ \\ 10x^2-20x-25x+50 = 0 \\ \\ 10x^2-45x +50 = 0 \\ \\ Bhaskara \to \ x _(1\ and\ 2) = (-b\pm √(b^2-4ac) )/(2a) \quad a=10\quad b= -45\quad c=50 \\ \\ \\ \ x _(1\ and\ 2) = (-(-45)\pm √((45)^2-4(10)(50)) )/(2(10)) \\ \\ \\\ x _(1\ and\ 2) = (+45\pm √(2025-2000) )/(20) \\ \\ \\\ x _(1\ and\ 2) = (+45\pm √(25) )/(20)`


`x _(1\ and\ 2) = (+45\pm 5 )/(20) \\ \\ \\ x _(1) = (+45+ 5 )/(20) \qquad\qquad x _(2) = (+45-5 )/(20)\\ \\ \\ x _(1) = (50 )/(20) \qquad\qquad \qquad x _(2) = (+40 )/(20)\\ \\ \\ x _(1) = (5 )/(2) \qquad\qquad \qquad x _(2) = (+4 )/(2) \\ \\ \\ \boxed{\\ \\ \\ x _(1) = (5 )/(2) \qquad\qquad \qquad x _(2) = 2}`


I wish you much success in your studies!!!!

Answer 2

(2x - 5) (5x - 10)
Use FOIL
10x² - 20x - 25x + 50

10x² - 45x + 50


5( 2x² - 9x + 10)

2x -5
x -2

5(2x - 5)(x -2)

make each equal to 0
2x - 5 = 0
x - 2 = 0

2x - 5 = 0 x - 2 = 0
2x - 5 (+5) = 0 x - 2 (+2) = 0 (+2)
2x = 5 x = 2
x = 5/2

x = 5/2 , 2

hope this helps