Question

Ali and Akari were trying to solve the equation: (x-1)(x-7)=5(x−1)(x−7)=5left parenthesis, x, minus, 1, right parenthesis, left parenthesis, x, minus, 7, right parenthesis, equals, 5 Ali said, "I'll multiply (x-1)(x-7)(x−1)(x−7)left parenthesis, x, minus, 1, right parenthesis, left parenthesis, x, minus, 7, right parenthesis and rewrite the equation as x^2-8x+7=5x 2 −8x+7=5x, squared, minus, 8, x, plus, 7, equals, 5. Then I'll subtract 555 from both sides, and use the quadratic formula with a=1a=1a, equals, 1, b=-8b=−8b, equals, minus, 8, and c=2c=2c, equals, 2." Akari said, "The left-hand side is factored, so I'll use the zero product property." Whose solution strategy would work?

Answer 1

Answer:

Step-by-step explanation:

Given the equation that Ali and Akari is trying to solve given as:

(x-1)(x-7)=5

Based on both strategy, Ali's strategy would work best as shown:

Step 1: Open the parenthesis at the left hand side of the equation as shown:

(x-1)(x-7)=5

$x^2-7x-x+7 = 5\\x^2 -8x + 7 = 5$

Step 2: Subtract 5 from both sides of the resulting equation

$x^2 -8x + 7 -5= 5-5\\x^2 -8x + 2 = 0$

Step 3: factorize the resulting equation:

$x^2 -8x + 2 = 0$

a = 1, b = -8 and c =2

x = (-b±√b²-4ac)/2a

x = (-(-8)±√(-8)²-4(1)(2))/2(1)

x = 8±√(64-8)/2

x = 8±√56/2

x = 8+√56/2 and x = 8-√56/2

x = 8+7.48/2 and x = 8-7.42/2

x = 15.48/2 and 0.58/2

x = 7.74 and 0.29

Answer 2

Answer: Only Ali´s would work.

Explanation: Took the stupid quiz