Missgurlpurrridn
Answered

Discover how IDNLearn.com can help you find the answers you need quickly and easily. Discover prompt and accurate answers from our experts, ensuring you get the information you need quickly.

Consider the equation: x^2-51=14x Rewrite the equation by completing the square and what the solution to the equation​

Sagot :

Dmarie22idn

Answer:

x = 17, -3

Step-by-step explanation:

I'm not sure why this is the answer I only know because I've had it before

pretty sure you have to use (b/2) ^2

The complete square of the given equation is (x - 7)² = 100 and the solution to the equation is x = 17 and -3.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Rearranging the equation x² - 51 = 14

x²- 14x -51 = 0
x² - 14x + 49 - 49 - 51 = 0
(x - 7)² = 100
x - 7 = √100
x - 7 = ± 10
Taking RHS positive,
x - 7 = 10
x = 17
Taking RHS negative
x - 7 = -10

x = 7 - 10
x = -3

Thus, the complete square of the given equation is (x - 7)² = 100 and the solution to the equation is x = 17 and -3.

Learn more about polynomial function here:

https://brainly.com/question/12976257
#SPJ5

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.