What are the approximate solutions of 2x2 + 9x = 8 to the nearest hundredth?
a. x ≈ 1.22 and x ≈ 3.28
b. x ≈ −0.76 and x ≈ 5.26
c. x ≈ −1.22 and x ≈ −3.28
d. x ≈ −5.26 and x ≈ 0.76

The roots of the equations are x ≈ -5.26 and x ≈ 0.76 .

Option (d) is correct.

Step-by-step explanation:

Formula for the roots is given by .

As the equation in the form

As the equation in the form ax² + bx + c = 0

a = 2, b= 9 , c = -8

Put in the formula

Thus First roots be

x ≈ -5.26

The second root be

x ≈ 0.76

Therefore the roots of the equations are x ≈ -5.26 and x ≈ 0.76 .

Option (d) is correct.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c