Is 5x^2=36 a quadratic equation ?
Answers
Answer:
Step by step solution :
STEP
1
:
Equation at the end of step 1
((x4) - 5x2) - 36 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring x4-5x2-36
The first term is, x4 its coefficient is 1 .
The middle term is, -5x2 its coefficient is -5 .
The last term, "the constant", is -36
Step-1 : Multiply the coefficient of the first term by the constant 1 • -36 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
x4 - 9x2 + 4x2 - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
x2 • (x2-9)
Add up the last 2 terms, pulling out common factors :
4 • (x2-9)
Step-5 : Add up the four terms of step 4 :
(x2+4) • (x2-9)
Which is the desired factorizatio
here you have clear information...
hopes it helps you....
Answer :-
Yes 5x²= 36 is the quadratic equation because equation as the degree of this equation is 2.
Hope it's helpful for you. ..