Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) )
x = [-5 ± √(25 - (-40) ) ] / ( -4 )
x = [-5 ± √(65) ] / ( -4)
x = [-5 ± sqrt(65) ] / ( -4 )
x = 5/4 ± -sqrt(65)/4
The answers are 5/4 + sqrt(65)/4 and 5/4 - sqrt(65)/4..
The correct answer is 3.53
Answer:
AQ = 20 units
Step-by-step explanation:
Comparing triangle AQR to ABC,
= 
= 
cross multiply and make p the subject of formula, we have:
8p (2p+3) = 4p(6p-4)
16
+ 24p = 24 - 16p
24p + 16p = 24 - 16
40p = 8
divide through by 8p,
p = 5
Therefore, AQ = 4p
= 4 × 5
= 20
AQ = 20 units
Examples of rational numbers are: -2 = -2/1, -5 = -5/1, -14 = -14/1, 1/2, 2/3, 5/8, 3/4, 17/5, . 6 = 6/10 = 3/5, . 25 = 1/4, . 33 = 33/100, 2¾ = 11/4, 3⅓ = 10/3, .
Answer:
26
Step-by-step explanation:
5 × 4 = 20 (rectangle)
8-5 = 3 (triangle)
3×4÷2 = 6
20+6 = 26
