Embarassed to ask this but 0 = x2 – 15x + 50 ?

  • Thread starter viet_jon
  • Start date
In summary, the conversation is about solving the equation 0 = x2 – 15x + 50 and factoring it into (x – 5)(x – 10). The person is asking for clarification on how the equation in line one leads to the equation in the second line, and after reviewing their algebra, they were able to understand it.
  • #1
viet_jon
131
0
[SOLVED] embarassed to ask this...but 0 = x2 – 15x + 50 ??

Homework Statement



0 = x2 – 15x + 50

Homework Equations





The Attempt at a Solution



line1 0 = x2 – 15x + 50
line2 0 = (x – 5)(x – 10)

question: how does the equation in line one work out to the equation in the second line?
reviewing my algebra...i can't believe how much high school math I forgot...
 
Physics news on Phys.org
  • #2
x(x - 10) - 5(x - 10)
 
  • #3
What is your question? You're factoring a binomial.

So, (x+a)(x+b)=0 factors to x*x + a*x + b*x + a*b = 0
 
  • #4
EnumaElish said:
x(x - 10) - 5(x - 10)
Isn't this
x^2 - 5x + 90
?
 
  • #5
DaveC426913 said:
Isn't this
x^2 - 5x + 90
?


x(x - 10) - 5(x - 10)

no no it isnt

if you factor out (x-10 from above...you will get (x-10)(x-5)
 
  • #6
got it...thankx
 

FAQ: Embarassed to ask this but 0 = x2 – 15x + 50 ?

What is the equation "0 = x2 – 15x + 50"?

The equation "0 = x2 – 15x + 50" is a quadratic equation in standard form, where the highest power of the variable is 2. It is also known as a second degree polynomial equation.

How do I solve the equation "0 = x2 – 15x + 50"?

To solve this equation, you can use methods such as factoring, completing the square, or using the quadratic formula. The goal is to rearrange the equation so that one side is equal to 0 and the other side is a perfect square. From there, you can use the methods mentioned to find the solutions for the variable x.

What is the significance of "0" in this equation?

The number 0 in this equation indicates that the quadratic expression is equal to 0. This means that the equation has a y-intercept of 0 and that the graph of the equation will intersect the x-axis at points where the value of y is 0.

What are the possible solutions for "x" in this equation?

The equation "0 = x2 – 15x + 50" will have two solutions for x, as it is a quadratic equation. These solutions can be real or complex numbers, depending on the values of the coefficients in the equation. You can use the methods mentioned in the second question to find the specific values of x.

Why is it important to understand and solve this equation?

Understanding and solving this equation can help in various real-world applications, such as finding the maximum or minimum value of a quadratic function, determining the roots of a quadratic equation, or solving problems related to projectile motion. It is also a fundamental concept in algebra and can help build a strong foundation for more complex mathematical concepts.

Back
Top