Question

Quadratic equations and complex numbers PPEASE ANSWER ASAP

Answer 1

When you solve the following equation, solving for the quadratic formula.

The answer is; x=4

Next time pay attention in class.

Answer 2

Answer:

12. $x=-3\frac{1}{2}, x = 6$

15. $4$

Step-by-step explanation:

12. $2x^2-5x=42$

To solve this quadratic equation, we will put all the variables and constants on one side of the equation and factorize it.

$2x^2-5x-42=0$

$2x^2-12x+7x-42=0$

$2x(x-6)+7(x-6)=0$

$(2x+7)(x-6)=0$

$x=-\frac{7}{2}, x = 6$

$x=-3\frac{1}{2}, x = 6$

Therefore, the solutions to the given expression are 3(1/2) and 6.

15. $3x=8+\sqrt{3x+4}$

$3x-8=\sqrt{3x+4}$

Squaring both the sides to get:

$(3x-8)^2=(3x+4)^2$

$9x^2-48x+64=3x+4$

$9x^2-51x+60=0$

$3(3x^2-17x+20)=0$

$3x^2-17x+20=0$

$3x^2-12x-5x+20=0$

$3x(x-4)-5(x-4)=0$

$x=\frac{3}{5} (ignore), x=4$

Therefore, the solution to the given expression is 4.