Answer: 29.3333333
Step-by-step explanation: multiply
- Factoring a quadratic equation can be defined as the process of breaking the equation into the product of its factors.
- Factorize the equation by breaking down the middle term.
- Let’s identify two factors such that their sum is 7 and the product is -18.
Sum of two factors = 7 = 9 - 2
Product of these two factors = 9 × (-2) = 18
- Now, split the middle term.
- Take the common terms and simplify.
Thus, (3x - 1) and (2x + 3) are the factors of the given quadratic equation.
- Solving these two linear factors, we get
Check the picture,
From the drawing it is clear that ABCD is a square with side length 4 units.
ABCD and NLPM are similar, and the side MN is 8 units. This means that NLPM is a square of side length 8 units.
The order of the letters is important, which means, after M comes N then comes L. With this in mind, there are 2 models we can draw, as drawn in the picture:
I) L(12, 8), P(4, 8)
II) L(12, -8), P(4, -8)
Answer: L(12, 8), P(4, 8) or L(12, -8), P(4, -8)
Answer: 2(3x^2-5x-1) or 6x^2-10x-2
Step-by-step explanation: combine like terms, and then factor by grouping :)
Answer:
x ≈ - 4.12 , x ≈ 0.12
Step-by-step explanation:
Given
2x² + 8x - 1 = 0 ( add 1 to both sides )
2x² + 8x = 1 ← factor out 2 on the left side
2(x² + 4x) = 1
To complete the square
add/ subtract (half the coefficient of the x- term )² to x² + 4x
2(x² + 2(2)x + 4 - 4) = 1, that is
2(x + 2)² - 8 = 1 ( add 8 to both sides )
2(x + 2)² = 9 ( divide both sides by 2 )
(x + 2)² = ( take the square root of both sides )
x + 2 = ± = ± = ± ( subtract 2 from both sides )
x = - 2 ± 1.5 , thus
x = - 2 - 1.5 ≈ - 4.12 ( to 2 dec. places )
x = - 2 + 1.5 ≈ 0.12 ( to 2 dec. places )