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lidiya [134]
3 years ago
15

Use completing the square to solve x^2+6x=13

Mathematics
1 answer:
lara [203]3 years ago
8 0

Answer:

x = -3 +/- square root(22)

Step-by-step explanation:

x = -b +/- square root(b^2 - 4ac) / 2a

ax^2 + bx + c = 0

these are both the quadratic formula but one is solved for the x and another for 0

a= 1

b= 6

c = -13

x= -6 +/- square root( 6^2 - 4(1)(13)) / 2(1)

x = -6 +/- sqrt( 36 + 52) / 2

x= -6 +/- sqrt (88) / 2

sqrt of 88 = 2 x sqrt (22)

divide 2 on each

x= -3 +/- sqrt (22)

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Factor completely. f(x) = −16x2 + 22x + 3
grigory [225]

Answer:

8x(2x+3)-2(x+3)

step by-step explanation:

16x^2+22x+3

16*3=48

2 numbers which have a product of 48 and a sum of 22

=24 and -2

Rewrite the centre term as these two numbers, so

16x^2+24x-2x+3

Factorise each pair of terms.

8x(2x+3)-2(x+3)

8 0
3 years ago
Help ill mark u brainliest
ANTONII [103]

answer:

8x - 16 + 5x + 15 = 90

and

8x - 6 + 18x + 4 = 180

7 0
3 years ago
In two months,mica spent a total of $305.43 on groceries.she spent $213.20 in the first month. How much did she spend in her sec
lawyer [7]

Answer:

She spent $92.23 in the second month.

Step-by-step explanation:

Subtract the totals:

305.43 - 213.20

= $92.23.

6 0
3 years ago
X+3y=-5
zmey [24]

Answer:

Tyler's - (-5 - 3y) + (3y) = -5

Han's - (x) + (-5 - x) = -5

Step-by-step explanation:

If we are going to use Tyler's first step then we would use x = - 5 - 3y and substitute it in the original simultaneous equation x + 3y = -5, becoming (-5 - 3y) + (3y) = - 5 giving an exact answer of - 5.

But if we are using Han's first step then we will still substitute into the original simultaneous equation but in 3y. It would become

x + (-5 - x) = - 5 which also gives us an exact answer of -5.

Thus proving that both first steps show the same solution of -5.

3 0
2 years ago
Alina by several shares of stock at $28 per-share and sells them at $24.50 per-share what is the percent of decrease in the pric
balu736 [363]
Take the absolute value of the difference, then divide it by the original amount
|28 - 24.5| / 28 = 3.5/28 = 0.125..now we multiply that by 100 to get it into a percent 0.125 * 100 = 12.5% <== ur answer
6 0
3 years ago
Read 2 more answers
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