Pretty sure it is
shift 1 left
i might be wrong
Answer:
the right answer is -5 (B)
Step-by-step explanation:
-(-5) +5(-5+2)
5 + -15 = -10
Answer:
-18
Step-by-step explanation:
Let x be our number. First we have to write our equation.
The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.
The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.
So our equation is:
-8x = 8(x + 36)
We can now solve for x. First, expand the bracket.
-8x = 8x + 288
Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.
-8x - 8x = 8x + 288 - 8x
-16x = 288
Divide both sides by -16
x = -18
Answer: The value of k for which one root of the quadratic equation kx2 - 14x + 8 = 0 is six times the other is k = 3.
Let's look into the solution step by step.
Explanation:
Given: A quadratic equation, kx2 - 14x + 8 = 0
Let the two zeros of the equation be α and β.
According to the given question, if one of the roots is α the other root will be 6α.
Thus, β = 6α
Hence, the two zeros are α and 6α.
We know that for a given quadratic equation ax2 + bx + c = 0
The sum of the zeros is expressed as,
α + β = - b / a
The product of the zeros is expressed as,
αβ = c / a
For the given quadratic equation kx2 - 14x + 8 = 0,
a = k, b = -14, c = 8
The sum of the zeros is:
α + 6α = 14 / k [Since the two zeros are α and 6α]
⇒ 7α = 14 / k
⇒ α = 2 / k --------------- (1)
The product of the zeros is:
⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]
⇒ 6α 2 = 8 / k
⇒ 6 (2 / k)2 = 8 / k [From (1)]
⇒ 6 × (4 / k) = 8
⇒ k = 24 / 8
⇒ k = 3
