Answer:
x = 1, -5.56
Step-by-step explanation:
x^2 = -7x - 8
shift -7x and -8 to the other side . Remember when u shift minus changes into plus.
x^2 + 7x + 8 = 0
using quadratic equation formula
in quadratic equation one value comes positive and other comes in negative
a = 1 , b = 7 and c = 8
taking positive sign
x = (-b +
) /2*a
x = (-7 +
) /2*1
x = (-7 +
) /2
x = (-7 +
)/ 2
x = -7 + 9 / 2
x = 2/2
x = 1
taking negative sign
(-b -
) /2*a
x = (-7 -
) /2*1
x = (-7 -
) /2
x = -7 -
/ 2
x = -7 - 4.12 / 2
x = -11.12/2
x = -5.56
therefore x = 1 , - 5.56
Answer:
2500
Step-by-step explanation:
Let the first square number be
then the next square number is
.
The difference between these two consecutive numbers is 99.
This implies that:

We expand to get:

Simplify:


Divide both sides by 2

Therefore the value of the larger perfect number is
.
Answer:
Given equation have two solutions.
x = 
Right option is (D)
Step-by-step explanation:
We have given,

we can rewrite this equation in the form given as:
6x² + 40 + 31x = 0
or 6x² + 31x + 40 = 0
On solving this quadratic equation, we get :
x = 
That means, given equation have two solutions.
Right option is (D)
Answer:
124
Step-by-step explanation: