Answer:
The answer is : 2/3
Step-by-step explanation:
2+9x^2=6
9x^2 = 6 - 2
9x^2 = 4
x^2 = 4/9
x = √(4/9)
x = 2/3
The factors of the quadratic equation is (x + 1) and (x - 6)
Given,
The quadratic equation; -2x² + 10x + 12
We have to find the factors of this equation using quadratic formula;-
Quadratic formula;- 
Here,
a = -2, b = 10 and c = 12
Now,
=
=
= (-10±14) ÷ -4
Solve for,
- 10 + 14 / -4 = -4/4 = -1
That is, (x + 1)
Solve for,
- 10 - 14 / -4 = -24/-4 = 6
That is, (x - 6)
Therefore, the factors for the given quadratic equation is (x + 1) and (x - 6)
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The correct options are


<h3>How to find same value of x?</h3>
given that

first find value of x to obtain the equations have the same value of x.
Find the L.C.M between the 6,3

Then Cross multiplication should be done


Hence the correct options are


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Answer:
k = 11
Step-by-step explanation:
Given the points are collinear then the slopes between consecutive points are equal.
Using the slope formula
m = 
with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)
m =
=
= 
Repeat with another 2 points and equate to 
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)
m =
, then
=
( cross- multiply )
k - 1 = 10 ( add 1 to both sides )
k = 11