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Inga [223]
3 years ago
14

Use factoring to solve the quadratic equation x2 − 2x − 3 = 12.

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
8 0

Answer:

x = -3 and x = 5

Step-by-step explanation:

x² − 2x − 3 = 12

x² − 2x − 3  - 12 = 0

x² − 2x − 15 = 0

Product = -15

sum = -2

Factors  are: 3, -5

So the equation becomes;

x² − 2x − 15 = 0

x² + 3x - 5x − 15 = 0

(x² + 3x) - (5x + 15) = 0

x(x + 3) - 5(x + 3) = 0

(x + 3)(x - 5) = 0

∴ (x + 3) = 0

    x = -3  

          or

   (x - 5) = 0

    x = 5

melomori [17]3 years ago
7 0

Answer:

x_1=5\\x_2=-3

Step-by-step explanation:

You have the following quadratic equation given in the problem:

x^{2}-2x-3=12

You must make the equation equal to zero, as following:

x^{2}-2x-3-12=0

Add like terms:

 x^{2}-2x-15=0

Now, to factor the equation, you must find two numbers whose sum is -2 and whose product is -15. Therefore, you have:

(x-5)(x+3)=0\\x_1=5\\x_2=-3

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Two diameters of circle P are AB and CD. Find the measure of arc ACD and arc AC when arc AD has a measure of 20 degrees
steposvetlana [31]

Answer:

Hence measure of arc ACD and arc AC are 340 degrees and 160 degrees respectively.

Step-by-step explanation:

Given:

A Circle with p as center and AB and CD as 2 diameters for a circle.

To Find:

Measure of ACD, and arc AC when arc AD is 20 degrees.

Solution:

<em>As we know that , Diameter is biggest chord which passes through center of circle,</em>

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(Refer the attachment)

angle APD=20 degree or arc AD=20 degree.

So AB as diameter ,so  arc DB=160 degree  or BPD=160 degree as A-B-P are

and angle APD and BPC are vertical opposite angles so they are congruent BPC=20 degree

Now,

points A,C,B,D,A makes circle which measures 360 degrees.

to find ACD

measure of ACD=360-(meaure of arc AD or angle APD)

=360-20

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Now arc AC,

as AB is diameter with p as midpoint ,A-P-B

arc APB=180 and arc BC=20 or angle BPC=20 degrees.

For measure of arc AC= measure of arc APB- arc BC

arc AC=180-20 degrees.

arc AC=160 degrees.

5 0
3 years ago
Find the formula an for the nth term of the geometric sequence satisfying the following conditions: a1 = -2,
Alexeev081 [22]

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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