YourAverageFangirl
contestada

Solve the quadratic equation x2+8x−30=0 by completing the square.
What are the solutions to the quadratic equation, if any?

x=4±46−−√
This equation has no real solutions.
x=4±34−−√
x=±46−−√

Respuesta :

unicorn3125

Answer:

               [tex]\bold{x=-4\pm\sqrt{46}}[/tex]

Step-by-step explanation:

[tex](a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}[/tex]

shubhamchouhanvrVT

The solution to the quadratic equation by completing the square will be

x = -4 ± √46. The correct option is A.

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given equation will be solved as below:-

x² + 8x − 30 = 0

Completing the square for the above equation.

( x + 4 )² - 16 - 30 = 0

( x + 4 )² = 46

x + 4 = ±√46

x = ±√46 - 4

Therefore, the solution to the quadratic equation by completing the square will be x = -4 ± √46. The correct option is A.

To know more about quadratic equations follow

https://brainly.com/question/1214333

#SPJ2

Otras preguntas