Answer:
The answer to your question is:
Step-by-step explanation:
12.-
x² - 6x = 5
x² - 6x + (3)² = 5 + (3)²
x² - 6x + 9 = 5 + 9
(x - 3)² = 14
13.- x² - 6x = 12
x² - 6x + (3)² = 12 + (3)²
x² - 6x + 9 = 12 + 9
(x - 3)² = 21
x - 3 = ±√21
x1 = √21 + 3 x2 = -√21 + 3
x1 = 7.58 x2 = -1.58
14.- 2x² - 24x = - 20 Divide by 2
x² - 12 x = -10
x² - 12x + (6)² = - 10 + (6)²
x² - 12x + 36 = - 10 + 36
( x - 6) ² = 26
x - 6 = ±√26
x1 = √26 + 6 x2 = -√26 + 6
x1 = 11.1 x2 = 0.9
Answer:
a=245 s=315
Step: Solve a+s=560 for a:
a+s=560
a+s=560(Add -s to both sides)
a=−s+560
Step: Substitute −s+560 for a in 8a+3s=2905:
8a+3s=2905
8(−s+560)+3s=2905
−5s+4480=2905(Simplify both sides of the equation)
−5s+4480=2905(Add -4480 to both sides)
−5s=−1575
−5s=−1575(Divide both sides by -5)
s=315
Step: Substitute 315 for s in a=−s+560:
a=−s+560
a=−315+560
a=245
Because 3/5 and 5/3 make a product of 1, so you have one x on the right side.
Answer:
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Step-by-step explanation: