Question

-(v to the power of 2 + 3v + 6)
PLEASE HELP

Answer 1

• v = 1.5 ± 1.658 [3.158 & -0.158]

Solution :

• 
  `- (v {}^(2) - 3v \: + 5) = - v \: + 3v \: - 5`

Using quadratic formula,

• 
  `x = \frac{ - b \: ± \: \sqrt{b {}^(2) \: - \: 4ac} }{2a \: } \\`

Where,

• x = v
• a = -1
• b = +3
• c = -5

Plugging in the values,

• 
  `v = \frac{- 3± \sqrt{( 3) {}^(2) -4( - 1)( - 5) } }{2( - 1)} \\`
• 
  `v = (- 3± √(9 -20) )/( - 2) \\`
• 
  `v = (- 3± √( - 11 ) )/( - 2) \\`
• 
  `v = ( 3± √( 11 ) )/( 2) \\`
• 
  `v = (3)/(2) ± (1 √(11) )/(2) \\`
• 
  `v = 1.5 \: \: ± 1.658`
• 
  `v_ 1 = 1.5 + 1.658 = 3.158`
• 
  `v_2 = 1.5 - 1.658 = - 0.158`

Thus, the factors of -(v² - 3v + 5) are 3.158 & -0.158.