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What is the first step in solving the quadratic equation -5x2+8=133?

a. taking the square root of both sides of the equation
b. subtracting 8 from both sides of the equation
c. squaring both sides of the equation
d. adding 8 to both sides of the equation

Respuesta :

Answer:

b. The first step in the equation solving is subtracting 8 from both sides of the equation.

Step-by-step explanation:

Here, the given quadratic equation is : [tex]-5x^2 + 8  = 133[/tex]

Let us try and solve this given equation.

[tex]-5x^2 + 8  = 133 \\\implies -5x^2 + 8  - 8 = 133 -8\\\implies  -5x^2  =  125\\\implies  x^2  =\frac{125}{-5}  = -25\\\implies x^2  = -25 = (5i)^2[/tex]

So, x  = ± 5i

Hence, as we can see here, the first step in the equation solving is subtracting 8 from both sides of the equation.