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4 years ago

Solve using the quadratic formula. Leave Irrational answers in radical form.

Mathematics

2 answers:

Vikki [24]4 years ago

8 0

Answer:

x1 = 4

x2 = -5

Step-by-step explanation:

There is a formula to solve the quadratic equations, which is:

[-b +- √ (b² - 4 ac) ] / (2a)

Quadractic equations have this look:

ax² + bx + c = 0

You need to stablish the numbers:

where a, is the number with x², b the x and c, the independent term.

x² + x - 20 = 0 For this case:

a = 1 ; b = 1 ; c = -20. We replace in the formula

[-1 +- √ (1² - 4 1 (-20)) ] / (2 .1)

(-1 + √81) / 2 = 4

(-1 - √81) / 2 = -5

Hitman42 [59]4 years ago

6 0

Answer:

x1= 4 , x2= -5

Step-by-step explanation:

put in calculator MOD 5 3

a= 1 b= 1 c= -20

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Sydney needs $450 to buy a TV for her room.she already saved $50. She earns $20 an hour at her job.set up and solve an equation

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3 years ago

Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

Solnce55 [7]

Answer:

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is $\mathbf{y=-\frac{2}{3}x+3 }$

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The equation in slope-intercept form is: $y=mx+b$ where m is slope and b is y-intercept.

Finding Slope:

The both equations given are parallel. So, they have same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation $y=mx+b$ where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept

Using slope m = -2/3 and point (-3,5) we can find y-intercept

$y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3$

So, we get b = 3

Now, the equation of required line:

having slope m = -2/3 and y-intercept b =3

$y=mx+b\\y=-\frac{2}{3}x+3$

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is $\mathbf{y=-\frac{2}{3}x+3 }$

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