Answer:
Step-by-step explanation:
A quadratic equation can be factorised if and only if there are rational roots.
For any quadratic equation the discriminant decides about the nature of roots.
Thus only if the discriminant is a perfect square we can have rational roots and in this case only factorization is possible.
In the given equation

Since 1 is a perfect square we can factor and solve

Answer:
the number of short sleeves sold is 42
Step-by-step explanation:
The computation of the number of short sleeves sold is shown below:
Given that
The clothing store sold 98 long sleeve shirts
And, the ratio of short sleeve to long sleeve is 3:7
So, the number of short sleeves sold is
= 98 × 3 ÷ 7
= 42
Hence, the number of short sleeves sold is 42
4(2 - x) > -2x - 3(4x + 1)
8 - 4x > -2x - 12x - 3
-4x + 2x + 12x > -3 - 8
10x > -11
x > -11/10
x > -1.1
Therefore, x = 0 and x = 10 zre solutions to the inequality.
Answer:
t = 7 • ± √2 = ± 9.8995
Step-by-step explanation: