Answer:
w=8
Step-by-step explanation:
4w-8=24
4w+8-8=24+8
4w=32
4w/4=32/4
w=8
Answer:
(a) x² − 13x + 4
(b) x² − 26x + 153
Step-by-step explanation:
f(x) = x² + 3x − 2
a + ß = -3
aß = -2
(a) (x − a²) (x − ß²)
x² − (a² + ß²) x + a²ß²
x² − ((a + ß)² − 2aß) x + a²ß²
x² − ((-3)² − 2(-2)) x + (-2)²
x² − (9 + 4) x + 4
x² − 13x + 4
(b) (x − (a − ß)²) (x − (a + ß)²)
x² − ((a − ß)² + (a + ß)²) x + (a − ß)²(a + ß)²
x² − (a² − 2aß + ß² + a² + 2aß + ß²) x + (a² − 2aß + ß²)(a + ß)²
x² − (2a² + 2ß²) x + (a² − 2aß + ß²)(a + ß)²
x² − 2(a² + ß²) x + (a² − 2aß + ß²)(a + ß)²
x² − 2((a + ß)² − 2aß) x + ((a + ß)² − 4aß)(a + ß)²
x² − 2((-3)² − 2(-2)) x + ((-3)² − 4(-2))(-3)²
x² − 2(9 + 4) x + (9 + 8)(9)
x² − 26x + 153
I find it convenient to rearrange the numbers so that positive numbers are added, negative numbers are added, then the two sums are added. Of course, you can do it any way you like. Your calculator does not care about the order of the numbers you enter.
... = (1.4 +1.8) -(5.5 +1.73 +1.09)
... = 3.2 - 8.32
... = -5.12
