In the first few steps for deriving the quadratic formula left side of the equation due to the distributive property for balancing the equation.
<h3>What is quadratic equation?</h3>
A quadratic equation is the equation in which the highest power of the variable is two.
Here, The first few steps in deriving the quadratic formula are shown in the table.
Use the substitution property of equality to solve it further,
-c=-ax² +bx
Now factor out the term a, to solve further as,
- c = a (x² + b/a x)
for half of the b value and square it to determine the constant of the perfect square trinomial as,
(b/2a)² = b²/4a²
Now the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
-c + b²/4a² = a(x² + b/a x + b²/4a² )
Thus, the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
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First Step: Leave "x" alone, pass the 3 to the other side
X= 10+3
Second Step: Add 10 plus 3
X= 13
So your answer is: x=13
Answer: 23(1/4)
Step-by-step explanation: this is the answer you can star resolving the equation into the parenthesis
(3/6)² + 7 *4 - 5
if we elevate to the power of 2 the values into the parenthesis, we get the following equation.
(9/36) + 7*4 -5
after this we follow with the values into the parenthesis, if you divide 9 over 36 we get the following result
9/36 = 0.25
then we get the following equation
0.25 +7*4 - 5
after that we can resolve the multiplication getting the following equation
0.25 +28 - 5
then if we resolve the subtraction, we will get this result.
28-5 = 23
then we have 0.25 + 23 this equation is equal to 23.25
if you follow the answer will be one with 23, then we get the possible results, if you divide 1/4=0.25
then we get that the result is
23(1/4)
Answer: 56
Step-by-step explanation:
Answer:
9x + 5y = 29 ........... (1) and
3x + y = 7 ........... (2)
Each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens.
Step-by-step explanation:
Let, each game of ping pong requires x number of tokens and each game of pinball requires y number of tokens.
So, from the given conditions we can write
9x + 5y = 29 ........... (1) and
3x + y = 7 ........... (2)
Now, solving equations (1) and (2) we get,
9x + 5(7 - 3x) = 29
⇒ 35 - 6x = 29
⇒ 6x = 6
⇒ x = 1 token.
Now, putting x = 1 in equation (2) we get,
3 + y = 7
⇒ y = 4 tokens.
So, each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens. (Answer)
