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3 years ago

Solve x^2=12x-15 by completing the square. which is the solution set of the equation?

Mathematics

1 answer:

svlad2 [7]3 years ago

6 0

Use the formula (b/2)^2 in order to create a new term. Solve for x by using this term to complete the square.

Exact Form:

x = ±√21 + 6

Decimal Form:

x = 10.58257569…, 1.41742430…

____

I hope this helps, as always. I wish you the best of luck and have a nice day, friend..

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2 years ago

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2 years ago

Read 2 more answers

Look at the graph shown below:

ElenaW [278]

So.. take a peek at the picture... let's get two points from it, hmm say 0,4 notice it touches the y-axis there, and say hmmm -4, 1, almost at the bottom of the line

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 0}}\quad ,&{{ 4}})\quad 
% (c,d)
&({{ -4}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-4}{-4-0}$

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=4\\
x_1=0\\
m=\boxed{?}
\end{cases}\\
\textit{and solve for "y"}
\end{array}\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

once you get the slope and solve for "y", that'd be the equation of the line.

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3 years ago

Solve x^2=12x-15 by completing the square. which is the solution set of the equation?​

Solve x^2=12x-15 by completing the square. which is the solution set of the equation?