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Serga [27]
3 years ago
15

Solve each quadratic equation. Show your work. x^2 + 3x = 10

Mathematics
2 answers:
Oxana [17]3 years ago
6 0
x^{2} +3x=10
x^{2} +3x-10=0
x^{2} +5x-2x-10=0
 x(x+5)-2(x+5)=0 
(x-2)(x+5)
x=2, x=-5
Basile [38]3 years ago
3 0

Answer:

Step-by-step explanation:

We shall use middle term split method to find the factor

here middle term is 3 ,factor of -10 which gives -3  on adding

such numbers are -10 = 5 and -2

                             5+(-2) = 3

                  And then making two groups and simplifying it ,we get the roots

x^2+3x =10 \\x^2+3x-10 =0 \\x^2+(5-2)x-10=0 \\x^2+5x-2x-10=0 \\x(x+5)-2(x+5) = 0\\(x-2)(x+5) =0 \\x=2 or x= -5 \\

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The variance for the data is  17,507. 5.

Given

The weekly salaries of a sample of employees at the local bank are given in the table below.

Employee Weekly Salary Anja $245 Raz $300 Natalie $325 Mic $465 Paul $100.

<h3>Variance</h3>

Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.

The mean value of the salaries of employees is;

\rm Mean= \dfrac{245+300+325+465+100}{5}\\\\Mean=287

The variance is given by;

\rm  Variance=\sqrt{\dfrac{(245-287)^2 +(300-287)^2 +(325-287)^2 +(465-287)^2 +(100-287)^2}{5-2}} \\\\Variance = 132.316}\\\\On \ Squaring \ both \ the \ sides\\\\Variance^2=17,507. 5

Hence, the variance for the data is  17,507. 5.

To know more about variance click the link given below.

brainly.com/question/7635845

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