Answer:
second option
Step-by-step explanation:
Given
+ 6x² + 5 = 0
let u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Change u back into terms of x, that is
x² = - 1 ( take the square root of both sides )
x = ± = ± i ( noting that
= i ), and
x² = - 5 ( take the square root of both sides )
x = ± = ±
= ±
×
= ± i
Solutions are x = ± i and x = ± i
I have memorized facts about fractions like these, so can tell you ...
_____
A fraction with 9 as a denominator is a repeating 1-digit decimal with the decimal digit being the numerator of the fraction.
A fraction with 11 as a denominator is a repeating 2-digit decimal with the two digits being 9 times the numerator of the fraction.
1/8 = 0.125, so any multiple of 1/8 is that multiple of 0.125.
From figure 1: -
From figure 2: 12
From figure 3: 6
From figure 4: -12
From figure 5: -2
Step-by-step explanation:
We need to solve the equation for k.
Solving:
So, the options to be selected are:
From figure 1: -
From figure 2: 12
From figure 3: 6
From figure 4: -12
From figure 5: -2
Keywords: Solving equations
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