One number is 4 times the other, so x and 4x.
The sum of two numbers is 4x+x=70.
Solve for x to get
x=70/5=14
the other number is 4x=4*14=56
STEP
1
:
Equation at the end of step 1
((49 • (x2)) + 12xy) + 26y2
STEP
2
:
Equation at the end of step
2
:
(72x2 + 12xy) + 26y2
STEP
3
:
Trying to factor a multi variable polynomial
3.1 Factoring 49x2 + 12xy + 64y2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
49x2 + 12xy + 64y2
The vertex form of the equation is:
y = a ( x - h )² + k
- 81 = a ( 0 - 6 )² + 27
- 81 = 36 a + 27
- 108 = 36 a
a = - 108 : 36
a = - 3
y = - 3 ( x - 6 )² + 27
y = - 3 ( x² - 12 x + 36 ) + 27
y = - 3 x² + 36 x - 108 + 27
y = - 3 x² + 36 x - 81
y = - 3 ( x² - 12 x + 27 )
x² - 12 x + 27 = 0
x² - 9 x - 3 x + 27 = 0
x ( x - 9 ) - 3 ( x - 9 ) = 0
( x - 9 ) ( x - 3 ) = 0
x 1 = 3, x 2 = 9
Answer:
The x-intercepts are ( 3, 0 ) and ( 9, 0 ).
Answer:- | -7 + 4 |
= - | -3 | Since | -3 | = 3:
= - (3)
= - 3
