All categories

4 years ago

Find the solution to the quadratic equation 4y squared +26y+30=0

Mathematics

1 answer:

mrs_skeptik [129]4 years ago

3 0

4y² + 26y + 30 = 0
a = 4
b = 26
c = 30

y = [-26 +/- √(26)² - 4(4)(30)] / [2(4)]
y = [-26 +/- √676 - 480] / [8]
y = [-26 +/- √196] / [8]
y = [-26 +/- 14] / [8]

⇒ y = [-26 + 14] / [8]
y = [12] / [8]
y = 1.5

⇒y = [-26 - 14] / [8]
y = [-40] / [8]
y = -5

You might be interested in

Six more than the product of a number and 5 is equal to 9.

padilas [110]

Answer:

5 = 9 + 6

Step-by-step explanation:

5 0

2 years ago

The sum of two numbers is -23, and the difference of the larger and the

geniusboy [140]

The two numbers are 29 and -52

Further explanation:

Let x be the larger number

and

y be the smaller number

then according to given statements

$x+y = -23\\x-y=81$

Adding both equations

$x+y+x-y=-23+81\\2x=58\\\frac{2x}{2} =\frac{58}{2}$

$x=29$

Putting x = 29 in first equation

$29+y=-23\\y=-23-29\\y=-52$

<u>Proof:</u>

Putting the values of x and y in first equation

$29-52=-23\\-23=-23$

So, The two numbers are 29 and -52

Keywords: Linear equations in two variables, Elimination method

Learn more about linear equations at:

#LearnwithBrainly

7 0

3 years ago

What is 0.7022 to the nearest tenth

STatiana [176]

This is simple. Remember this: 5 and up, take it up. 4 or less, make it less

There are many placed after the decimal. Tenths is the first place, hundredths is the second, thousandths is the third, so on such forth.

If it wants you to round to the nearest TENTH, this means you have to look at the first digit after the decimal, this is the number your rounding. To determine if it goes up or down, you look at the digit to the right of it. In this case, next to the .7 is a 0. "4 or less, make it less"
Well, this means that the number will be taken down to make 0.7, as the 0 is 5 or more. If it were, it would be 0.8

~Hope this helps!

3 0

3 years ago

What number should be added to both sides of the equation to complete the square X2+3x=6

harina [27]

Answer:

add 6

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The music teacher would like to have the same number of girls and of boys in the chorus. She finds that 5 8 of the chorus are g

ExtremeBDS [4]

106 students are in chorus.

About 110/200 students are in chorus.

6 0

3 years ago