Solve x²-5x-14=0 using quadratic formula

x=-2 or x=7

Step-by-step explanation:

X²-5X-14=0  find the factors of -14x² which is -7x and +2x

X² -7x + 2x - 14 = 0   factorize

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

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

x+2 = 0 or x-7= 0

x=-2 or x=7

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

536

step-by-step explanation: