Question

Solve by quadratic equations methods 5x²-9x-14=0​

Answer 1

Answer:

5x2-9x-14=0

5x2+5x-14x-14=0

5x(x+1)-14(x+1)=0

(x+1) (5x-14)=0

x+1=0 5x-14=0

x=0-1 5x=14

x=-1 x=14/5

x=-1

x=14/5

Answer 2

Answer:

x=14/5. and x= -1

Step-by-step explanation:

5x2²-9x-14=0

On comparing the values, we get,....

a=5. b= -9. and c= -14

We need to find D or DISCRIMINANT for that,....

D=b²-4ac

D = (-9)²-4(5)(-14)

D = 81 + 280

D = 361

Now, we need to find x....

x = (-b ± √D)/2a

x = -{(-9)±361}/2(5)

x = (9±19)/10

When it is +19,....

x = (9+19)/10

x = 28/10

x = 14/5

When it is -19,....

x = (9-19)/10

x = -10/10

x = -1

So the possible values of x are 14/5 and -1....

HOPE IT HELPS....

THANKS....