IDNLearn.com: Your trusted source for finding accurate and reliable answers. Find the answers you need quickly and accurately with help from our knowledgeable and experienced experts.

Select all the correct answers.

What are the solutions to this equation?

[tex]2x^2 = -10x + 12[/tex]

A. [tex]x = -2[/tex]
B. [tex]x = -6[/tex]
C. [tex]x = -3[/tex]
D. [tex]x = 6[/tex]
E. [tex]x = 3[/tex]
F. [tex]x = 1[/tex]


Sagot :

To find the solutions to the quadratic equation [tex]\( 2x^2 + 10x - 12 = 0 \)[/tex], proceed as follows:

1. Write the equation in standard form:
The given equation [tex]\( 2x^2 + 10x - 12 = 0 \)[/tex] is already in standard quadratic form, which is [tex]\( ax^2 + bx + c = 0 \)[/tex], where [tex]\( a = 2 \)[/tex], [tex]\( b = 10 \)[/tex], and [tex]\( c = -12 \)[/tex].

2. Solve the quadratic equation:
By solving the quadratic equation, we find the values of [tex]\( x \)[/tex] that satisfy the equation.

3. Identify the solutions:

From the previous detailed solving steps (not shown here), we know that the solutions to the quadratic equation [tex]\( 2x^2 + 10x - 12 = 0 \)[/tex] are:
[tex]\[ x = -6 \quad \text{and} \quad x = 1 \][/tex]

Therefore, the correct solutions to the equation [tex]\( 2x^2 + 10x - 12 = 0 \)[/tex] are:
- [tex]\( x = -6 \)[/tex]
- [tex]\( x = 1 \)[/tex]

The correct answers to select would be:
- [tex]\( x = -6 \)[/tex]
- [tex]\( x = 1 \)[/tex]
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.