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Marrrta [24]
1 year ago
11

Quadratic Formula to solve the equation x^2- 4x = - 7

Mathematics
1 answer:
mylen [45]1 year ago
8 0

roots of the equation x^2- 4x = - 7 are  2+3i and 2-3i

What are the natures of root of quadratic equation?

Case I: 4ac > b^2

The roots of the quadratic equation ax^2 + bx + c = 0are real and unequal when a, b, and c are real numbers, a 0, and the discriminant is positive.

Situation II:  b^2-4ac =0

The roots and of the quadratic equationax^2 + bx + c = 0  are real and equal when a, b, and c are real numbers, a 0, and the discriminant is zero.

Case III: b^2-4ac<0

The quadratic equation ax^2 + bx + c = 0 has roots when a, b, and c are real numbers, a 0, and the discriminant is negative, but these roots are not equal and are not real. We refer to the roots in this instance as fictitious.

Case IV: Perfect square and b^2 - 4ac > 0

The roots of the quadratic equation ax^2 + bx + c = 0  are real, rational, and unequal when a, b, and c are real numbers, a 0, and the discriminant is positive and perfect square.

Quadratic Formula x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}

x^2- 4x = - 7

x^2-4x+7=0

Here a = 1 , b = -4 , c = 7

using quadratic formula

x={\frac {-(-4)\pm {\sqrt {(-4)^{2}-4(1)(7)}}}{2(1)}}

x={\frac {4\pm {\sqrt {-12}}}{2}}

x={\ {2\pm {\ 3i}}

Learn more about quadratic equation from the link below

brainly.com/question/2279540

#SPJ1

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P=2l+2w\\&#10;l=2\text{ m }10\text{ cm}=210 \text{ cm}\\&#10;w=45\text{ cm}\\\\&#10;P=2\cdot210+2\cdot45\\&#10;P=420+90\\&#10;P=510 \text{ cm}
6 0
3 years ago
a food truck sells salads for 6.50 each and drinks for 2.00 each. The food truck's revenue from selling a total of 209 salads an
kati45 [8]
S+d=209
d=209-s
6.5s+2d=836.5
6.5s+2(209-s)=836.5
6.5s+418-2s=836.5
4.5s+418=836.5
4.5s=418.5
s=93

There were 93 salads sold that day.
4 0
3 years ago
Let c = 10.Which expression makes the comparison true.
den301095 [7]

Answer:

c² - 63

Step-by-step explanation:

4c - 10 = 30

3c ÷ 3 = 10

c² - 63 = 37

c² ÷ 10 = 10

Since c² - 63 = 37 and c + 25 = 35, 37 is greater than 35 so it would make sense to choose c² - 63 as the answer.

c + 25 < 37

I hope this helps you :D

3 0
3 years ago
What is the quotient of 5 7 ÷ 5 14 ?
KatRina [158]

Answer:

<h2><u>=</u> <u>   57 / 514  </u>    <u>(Decimal: 0.110895)</u></h2>

Step-by-step explanation:

57 / 514

<u>=   57 / 514 </u>

<u>(Decimal: 0.110895)</u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<h2><u>And if that is not what you are looking for here: </u></h2><h2><u></u></h2>

Rewrite the equation as  

x /14 =  5/ 7 .  x/ 14 =  5/ 7

Multiply both sides of the equation by  

14.14  ⋅  x /14 =  14 ⋅ 5 /7

Simplify both sides of the equation.

Tap for fewer steps...

Cancel the common factor of  14 .  

Cancel the common factor.

14 ⋅  x /14 =  14 ⋅ 5 /7

Rewrite the expression.

x = 14 ⋅ 5 /7

Simplify  14 ⋅  5/ 7 .

Cancel the common factor of  7 .

Factor  7  out of  14 .

x = 7 ( 2 ) ⋅ 5/ 7

Cancel the common factor.

x = 7 ⋅  2 ⋅  5/ 7

Rewrite the expression.

x  = 2 ⋅ 5

Multiply  2  by  5 .

<u>x = 10</u>

3 0
2 years ago
Hi, can I send screenshot?​
Sati [7]
Yes you can i think........
4 0
3 years ago
Read 2 more answers
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