√144 = √12^2 = 12
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x=7 or x=-6
Let's solve your equation step-by-step.
0.25x2−0.25x−10.5=0
For this equation: a=0.25, b=-0.25, c=-10.5
0.25x2+−0.25x+−10.5=0
Step 1: Use quadratic formula with a=0.25, b=-0.25, c=-10.5.
x=
−b±√b2−4ac
2a
x=
−(−0.25)±√(−0.25)2−4(0.25)(−10.5)
2(0.25)
x=
0.25±√10.5625
0.5
x=7,−6
Answer:
x≤-3 2 ≤x<7
Step-by-step explanation:
(x^2+x-6) /(x-7) ≤0
Factor the numerator
(x+3)(x-2) / (x-7)≤0
Critical points are
X =-3 X =2 X=7
We need to check the values when
x≤3 -3 ≤ x≤2 2 ≤x<7 x>7
(x cannot be 7 because then the denominator is zero)
and see when it is less than 0
Substitute a value in and see if factor is positive or negative
x≤-3
(negative)(negative) / (negative) = negative
-3 ≤x≤2
(positive)(negative) / (negative) = positive this range does not work
2 ≤x<7
(positive)(positive) / (negative) = negative
x>7
(positive)(positive) / (positive)
M = (y₂ - y₁) / (x₂ - x₁)
Multiply each side by (x₂ - x₁): M/(x₂ - x₁) = (y₂ - y₁)
Add y₁ to each side: y₂ = M/(x₂ - x₁) + y₁
Substitute 8 for c.
7/8 times 8 equals 7.
To multiply a fraction by a full number, multiply the numerator to get 56/8 and then preform the division to get 7.
In this case, the decimal and the multiplication cancel each other out since they're both 8.
