For the equation y = 2x2 − 5x + 18, choose the correct application of the quadratic formula.

x equals negative five plus or minus the square root of negative five squared minus four times two times eighteen, all divided by two times two

x equals five plus or minus the square root of negative five squared minus four times two times eighteen, all divided by two times two

x equals negative two plus or minus the square root of two squared minus four times negative five times eighteen, all divided by two times negative five

x equals two plus or minus the square root of two squared minus four times negative five times eighteen, all divided by two times negative five

Option 2nd is correct

x equals five plus or minus the square root of negative five squared minus four times two times eighteen, all divided by two times two

Step-by-step explanation:

Given the equation:

Use the quadratic formula:

A quadratic equation .............[1], then the solution is given by:

On comparing given equation with [1]

a = 2 , b = -5 and c = 18

then;

⇒

Therefore, the correct application of the quadratic formula is,

x equals five plus or minus the square root of negative five squared minus four times two times eighteen, all divided by two times two

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.