Select the two values of x that are roots of this equation. 2x - 3 = -5x2
2 answers:
Answer:
x = -1 or x =
Step-by-step explanation:
2x - 3 = -5x²
This is a quadratic form of equation.
We will start by rearranging the equation, we will move all the variable to the left-hand side of the equation, which means the right-hand side of the equation will become zero.
Add 5x² to both-side of the equation
2x - 3 + 5x² = -5x² + 5x²
2x - 3 + 5x² = 0
5x² + 2x -3 = 0
Now we can now proceed to solve;
Find two factors such that it sum will give 5 and its product will give -15
The two numbers are 5 and -3 (That is 5×-3 = -15 and 5 +(-3)=2)
We will replace 2x by 5x and -3x
So that our equation becomes;
5x² + 5x -3x-3 = 0
We will now factorize
( 5x² + 5x) (-3x -3 )= 0
On the first bracket, 5x is common and so it will be factored out and on the second bracket -3 is common and so it will be factored out
5x(x + 1) -3(x + 1) = 0
(x+1)(5x-3) = 0
Either x +1 = 0 ⇒ x = -1
or
5x - 3 = 0
5x = 3
x =
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Step-by-step explanation:
• y2 → -1
• y1 → 5
• x1 → 4
• x2 → -3
Answer:
.08cm or 0.08cm
Step-by-step explanation:
First of all, we can see that 20mm is in millimeters, not centimeters.
If we convert the ones in centimeters to millimeters, it will result in decimals, which I want to avoid, but you could also do it that way.
There are 10 mm in 1 cm, so I multiply all of the values in cm by 10.
So now, we have that the volume is 1760mm, the length is 110mm, and the width is 20mm.
The formula for the volume of a cuboid is:
We have the width, length, and volume, so let's plug it in.
To solve for h:
1. Multiply 20 and 100
2. Divide both sides by 2200
3. Divide right side
h = 0.8
Keep in mind that this is in millimeters. In centimeters, it would be .08