Prof. Martin tried to solve the quadratic equation y = 8x2 − 5x − 3 by completing the square, but she made a mistake.

In which line of her work shown below did she make the mistake?
8x2 − 5x − 3 = 0
[Line 1] ⇒ 8x2 − 5x = 3
[Line 2] ⇒ x2 − 0.625x = 0.375
[Line 3] ⇒ x2 − 0.625x + 0.09765625 = -1.25 + 0.09765625
[Line 4] ⇒ (x − 0.3125)2 = -1.25 + 0.09765625
[Line 5] ⇒ (x − 0.3125)2 = 0.47265625
[Line 6] ⇒ x − 0.3125 = ±√(0.47265625)
[Line 7] ⇒ x = ±√(0.47265625) − 0.3125
[Line 8] ⇒ x = -0.375 or 1.000, rounded to 3 decimal places

Line 5

Line 4

Line 6

Line 7

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

step-by-step explanation:

i'm not sure how to show the work for this

answer : c and d or 4(29 + 6)

4(29) + 4(6)