Minus 1 both sides
x²-8x=-1
take 1/2 of the linear coefient and square it
-8 is the linear coefient
-8/2=-4, (-4)²=16
add 16 to both sides
x²-8x+16=16-1
factor perfect squaer trinomial
(x-4)²=15
square root both sides, remember to take positive and negative roots
x-4=+/-√15
not exactly sure what to put in the blnaks
but
the solutions are x=4+√15 and x=4-√15
Answer:3
Step-by-step explanation:
Answer:
3
because 15 + 9 = 24
and 3(5 + 3) which is 3 * 5 + 3 * 3 = 15 + 9 = 24
= 24 = 24
Step-by-step explanation:
Please mark me as the brainliest
Answer:
large tank volume = 6 litres
small tank volume = 3 litres
Step-by-step explanation:
Given that,
The combined volume of 3 large tanks and 2 small tanks is 24 litres.
The combined volume of 2 large tanks and 3 small tanks is 21 litres.
Suppose large tank volume = x
Suppose small tank volume = y
<h2>First Equation </h2>
3x + 2y = 24
<h2>Second Equation </h2>
2x + 3y = 21
Now solve them
3x =24 - 2y
x = (24 -2y) / 3
Put value of x in second equation
2 {(24 -2y) / 3} + 3y = 21
2(8) - 4y/3 +3y = 21
16 - 4y/3 + 3y = 21
3y -4y/3 = 21-16
5y/3 = 5
5y = 15
y = 15/5
y = 3
3x = 24 - 2(3)
3x = 18
x = 6
