Question

Solve for x: 2(x 3)2 − 4 = 0 Round your answer to the nearest hundredth. X = 4. 41, 1. 59 x = 1. 34, 5. 24 x = −1. 34, −5. 24 x = −4. 41, −1. 59.

Answer 1

The two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

What is a quadratic equation?

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

$ax^2+bx+c=0$

Here, (a,b,c) are the real numbers and x is the variable.

To find the value of x, the following formula is used,

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

The given equation is,

$2(x+ 3)^2 - 4 = 0$

To solve this equation, we need to apply some mathematical operations over it. Let's start with opening the brackets.

$2(x+ 3)^2 - 4 = 0\\2(x^2+6x+9)-4=0\\2x^2+12x+14-4\\2x^2+12x+12=0\\x^2+6x+7=0$

On comparing with standard equation we get,

$a=1, b=6, c=7$

Put this values in the above formula,

$x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=-4.41,-1.59$

Hence, the two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

Learn more about the quadratic equation here;

brainly.com/question/1214333