Answer:
Step-by-step explanation:
1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)
Two numbers that work are -6 and +1
-6 x +1 = -6
-6 + -1 = -5
2. Split the middle term into the two numbers that you found.
3x^2 -6x +x -2 = 0
I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.
3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'
3x (x-2) +1 (x-2) = 0
4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.
(3x + 1) (x-2) = 0
5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.
3x + 1 = 0 x-2 = 0
3x = -1 x = 2
x = -1/3
6. The solutions to this equation are x = 2 and x = -1/3
X^2 - x = 7
(x - 0.5)^2 - 0.25 = 7
(x - 0.5)^2 = 7.25
(x - 0.5) = +/- sqrt 7.25
x = 0.5 +/- sqrt7.25
solution set is {-2.19, 3.19,}
Answer:
Here is your answer
Step-by-step explanation:
Solution,
here,
Base is 75 cm
Height is 12 cm
Now,
Area of triangle=1/2×b×h
=1/2×75×12
= 900/2
=450. ans
Answer:
0.0603m2
Step-by-step explanation:
and there u go
*12 + 1.5x = 16 + 0.50x*
That's the answer, since I'm late.
This is correct because when setting up this sentence as an equation, you need to look at the numbers and how they're used. There are independents and dependents.
indep.:
12,16
dep.:
1.50,0.50
Furthermore, there are 1 of each on both sides of the equation, match them from the equation by name and you get the answer.
