Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x2 + 2x + 7 = 21

Complete question is;

Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x² + 2x + 7 = 21 The number of positive solutions to this equation is . The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is

The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is 2.87.

Step-by-step explanation:

We are given the quadratic equation as;

x² + 2x + 7 = 21

Subtract 21 from both sides to give ;

x² + 2x + 7 - 21 = 0

x² + 2x - 14 = 0

Using quadratic formula, we cam find the roots of the equation.

x = [-b ± √b² - 4ac]/2a

Plugging in the values;

x = [-2 ± √(2² - 4(1*-14))]/2(1)

x = [-2 ± √(4 + 56)]/2

x = [-2 ± √60]/2

x = - 4.87 or 2.87

Thus, this equation has only one positive solution which is the greatest.

Thus, greatest solution is 2.87

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

answer: my brother can figure it out, imma go get him so i can answer : ) edit: my brother is sleeping, sorry man

step-by-step explanation: