Answer:
x = - 
, x = 
Step-by-step explanation:
Given
x² - x - 
= 0
Multiply through by 4 to clear the fraction
4x² - 4x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × - 3 = - 12 and sum = - 4
The factors are + 2 and - 6
Use these factors to split the x- term
4x² + 2x - 6x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(2x + 1) - 3(2x + 1) = 0 ← factor out (2x + 1) from each term
(2x + 1)(2x - 3) = 0
Equate each factor to zero and solve for x
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = -
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
Answer:
-1/3; A
Step-by-step explanation:
- to go through the origin, it must pass through (0,0); thus if we plug in 0 for x and 0 for y we are left with 4 + 12(z) = 0, solve for z and we get -1/3
The solutions of the equation are x = 15 and x = -20
<h3>How to determine the solutions of the equation?</h3>
The equation is given as:
the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0
Rewrite the equation properly as:
|2/5x + 1| - 7 = 0
Add 7 to both sides
|2/5x + 1| = 7
Remove the absolute bracket
2/5x + 1 = 7 and 2/5x + 1 = -7
Subtract 1 from both sides
2/5x = 6 and 2/5x = -8
Solve for x
x = 15 and x = -20
Hence, the solutions of the equation are x = 15 and x = -20
Read more about absolute value at
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Answer:
the total surface area is 40 + 12 + 15 = 67 square units
Step-by-step explanation:
Refer to the diagram:
the combined area of the top and bottom is 2(5·4) = 40:
the combined area of the ends is 2(1.5·4) = 12; and
the combined area of the front and back is 2( 5 · 1.5) = 15
and so the total surface area is 40 + 12 + 15 = 67 square units
