Find b and then solve the equation:(b−5)x2−(b−2)x+b=0, if one of its roots is0.5

b = ⅓

x = ½, -1/7

Step-by-step explanation:

(b−5)x² − (b−2)x + b = 0

(b - 5)(0.5)² - (b - 2)(0.5) + b = 0

0.25b - 1.25 - 0.5b + 1 + b = 0

0.75b = 0.25

b = ⅓

(⅓−5)x² − (⅓−2)x + ⅓ = 0

(-14/3)x² + (5/3)x + 1/3 = 0

14x² - 5x - 1 = 0

14x² - 7x + 2x - 1 = 0

7x(2x - 1) + (2x - 1) = 0

(7x + 1)(2x - 1) = 0

x = 0.5, -1/7

b = 1/3    x = -1/7 and -1/2

Step-by-step explanation:

(b−5)x^2−(b−2)x+b=0

Since we know one of the solutions, we can solve for b

(b−5)(.5)^2−(b−2)(.5)+b=0

(b−5)(.25)−(b−2)(.5)+b=0

Distribute

.25b -1.25 -.5b+1 +b = 0

Combine like terms

.75b -.25 =0

Add .25 to each side

.75b = .25

Divide by .75

b = .25/.75

b =1/3

Substituting this back into the equation

(1/3−5)(x)^2−(1/3−2)(x)+1/3=0

Getting a common denominator

(1/3−15/3)(x)^2−(1/3−6/3)(x)+1/3=0

-14/3 x^2  +5/3x +1/3 =0

Multiplying by 3 to get rid of the fractions

-14x^2 +5x +1 =0

using the quadratic formula

-b ±sqrt( b^2-4ac)

  2a

-5 ±sqrt( 5^2-4(-14)1)

  2(-14)

-5 ±sqrt( 81)

  2(-14)

-5 ±9

  -28

-5+9                  -5-9

  and  

-28                   -28

-4/28     and  14/28

-1/7           and  1/2

true

step-by-step explanation:

according to the national european world center, the engineering of the ford company on elon musk's flame throwers proved the globalization of the natural wallabies and therefore, results in the growth product domestication in almonds.

46

step-by-step explanation:

given

height = 168 cm

formula

height =2.47*f+54.13

solution

168 = 2.47f + 54.13             subtract 54.13 from both sides

168 - 54.13   = 2.47f             combine

113.87 = 2.47f                     divide by 2.47

113.87 / 2.47 = f                   combine

46.1 = f  

answer: 46 cm