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Sagot :
Answer:
x = 5, -1
Step-by-step explanation:
0 = 3x^2 - 12x - 15 or
3x^2 - 12x - 15 = 0
By solving for x, use the Quadratic Formula.
… x = 5 and/or -1
x = 5, -1
Step-by-step explanation:
0 = 3x^2 - 12x - 15 or
3x^2 - 12x - 15 = 0
By solving for x, use the Quadratic Formula.
… x = 5 and/or -1
After completing the square the quadratic equation [tex]3x^{2} -12x-15=0[/tex] is equivalent to [tex](x-2)^2=3^2[/tex].
What is a quadratic equation?
"It is a polynomial equation with degree two."
What is completing the square method?
"It is a method that is used for converting a quadratic expression of the form [tex]ax^2 + bx + c[/tex] to [tex]a(x - h)^2 + k[/tex] "
For given example,
We have been given a quadratic equation.
[tex]3x^{2} -12x-15=0[/tex]
First we divide above quadratic equation by 3,
[tex]x^{2} -4x-5=0\\\\x^2-4x=5[/tex] ................(i)
Now for completing the square first find [tex](\frac{-b}{2a} )[/tex]
[tex]\frac{-b}{2a}\\=\frac{-(-4)}{(2)(1)}\\\\ =\frac{4}{2}\\\\ =2[/tex]
Add [tex](\frac{-b}{2a} )^2[/tex] on both the sides of equation (i),
[tex]x^{2} -4x+4=5+4\\\\(x-2)^2=9\\\\(x-2)^2=3^2[/tex]
Therefore, after completing the square the quadratic equation [tex]3x^{2} -12x-15=0[/tex] is equivalent to [tex](x-2)^2=3^2[/tex].
Learn more about completing the square here:
https://brainly.com/question/4822356
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