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3 years ago

What are the solutions of the equation 4x2 + 3x = 24 – x?

Mathematics

2 answers:

prohojiy [21]3 years ago

8 0

answer

x = 2

x = -3

step-by-step explanation

4x^2 + 3x = 24 – x move all terms to one side

4x^2 + 4x = 24

4x^2 + 4x - 24 = 0 divide each side by 4

x^2 + x - 6 = 0/4 = 0

factor x^2 + x - 6 by finding two number whose product is -6 and sum is x

(x-2)(x+3) set each term equal to 0 and solve for x

x-2 = 0, x = 2

x+3 = 0, x = -3

Rashid [163]3 years ago

6 0

Answer:

X+4

Step-by-step explanation:

8+3x=25-x

3x+x=24-8

4x+16

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3 years ago

find the point-slope equation of the line perpendicular to the line y=2x+5 passing through the point (1,4). (please include solu

pishuonlain [190]

First off, let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm so what's the slope of y = 2x + 5?

well, notice, that equation is in slope-intercept form, thus $\bf y=\stackrel{slope}{2}x+5$ .

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{2\implies \stackrel{slope}{\cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}$

so, we're really looking for the equation of a line whose slope is -1/2 and runs through 1,4.

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad \qquad \qquad 
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\\\\\\
% point-slope intercept
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7 0

3 years ago

You haft too use elimination to solve this thank you

lakkis [162]

Answer:

x=0, y=-2

Step-by-step explanation:

Because 9y appears twice in both equations, you can subtract the equations to eliminate the y variable so you can solve for x:

-7x + 9y = -18

-(4x + 9y = -18)

__________

-11x = 0

x = 0

Since we know x=0, then we plug it back into one of the equations to get the value of y:

-7x + 9y = -18

-7(0) + 9y = -18

0 + 9y = -18

9y = -18

y = -2

Therefore, x=0, and y=-2

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3 years ago

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4 years ago