x2+12x-13=0 The factor of x2+12x-13 is: (x+13)(x-1) So: x+13 = 0 or x-1 = 0 The answer is: x=-13 or x=1
absolute means the value without the sign: |x| = x if x ≥ 0 |x| = -x if x < 0 →|-13| = 13 →|19| = 19 19 > 13 → |19| > |-13|
Points: (11, 0) and (0, 13) Slope: (0-13)/(11-0) = -13/11 Equation: y-0 = -13/11(x-11) => 11y = -13x+143 Equation: y-13 = -13/11(x-0) => 11y = -13x+143
103
0 = -925000 + 60000/13 - x Add x to both sides: x = -925000 + 60000/13 Simplify the Right Hand Side: x = -12085000/13 = -929615.3846, approx.
If: x+0 = 13 then x = 13
x2+12x-13=0 The factor of x2+12x-13 is: (x+13)(x-1) So: x+13 = 0 or x-1 = 0 The answer is: x=-13 or x=1
absolute means the value without the sign: |x| = x if x ≥ 0 |x| = -x if x < 0 →|-13| = 13 →|19| = 19 19 > 13 → |19| > |-13|
13 x 0 = 0 13 x 1 = 13 13 x 2 = 26 13 x 3 = 39 13 x 4 = 52 13 x 5 = 65 13 x 6 = 78 13 x 7 = 91 13 x 8 = 104 13 x 9 = 117 13 x 10 = 130 13 x 11 = 143 13 x 12 = 156 13 x 13 = 169
13 million (13,000,000) in expanded form is: (1 x 10000000) + (3 x 1000000) + (0 x 100000) + (0 x 10000) + (0 x 1000) + (0 x 100) + (0 x 10) + (0 x 1)
Points: (11, 0) and (0, 13) Slope: (0-13)/(11-0) = -13/11 Equation: y-0 = -13/11(x-11) => 11y = -13x+143 Equation: y-13 = -13/11(x-0) => 11y = -13x+143
x = zero and x = 13.
Let x and y be the two numbers. 1) x + y = 19 2) xy = 78 Solve (1) for y. Subtract x from both sides. y = 19 - x Then we can write equation (2) as x(19-x)=78 Simplifying x(19 + -1x) = 78 (19 * x + -1x * x) = 78 (19x + -1x2) = 78 Solving 19x + -1x2 = 78 Solving for variable 'x'. Reorder the terms: -78 + 19x + -1x2 = 78 + -78 Combine like terms: 78 + -78 = 0 -78 + 19x + -1x2 = 0 Factor a trinomial. (-13 + x)(6 + -1x) = 0 == Set the factor '(-13 + x)' equal to zero and attempt to solve: Simplifying -13 + x = 0 Solving -13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x = 0 + 13 x = 0 + 13 Combine like terms: 0 + 13 = 13 x = 13 Simplifying x = 13 == Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6 == x = {13, 6} The answer to your question is that the larger number is 13.
If you mean "multiples", just calculate 13 x 0, 13 x 1, 13 x 2, etc.
x2 + 6x - 2 = 0 x2 + 6x + 9 = 13 (x + 3)2 = 13 x + 3 = ± √13 x = -3 ± √13
Let the first number be x and the second number is 27 − x. [As the sum of both the numbers is 27] Therefore, their product = x (27 − x) It is given that the product of these numbers is 182. x (27 – x) = 182 x2 + 27x - 182 = 0 Changing the signs on both sides we get,x2 - 27x + 182 = 0 Factorizing we get , 13 and 14 are the numbers whose sum is 27 and product is 182 x2 – 13x – 14x + 182 = 0 = x(x – 13) – 14 (x – 13)= 0 = (x – 13) (x – 14) = 0 Either x – 13 = 0 or x − 14 = 0 i.e., x = 13 or x = 14 If first number = 13, then Other number = 27 − 13 = 14 If first number = 14, then Other number = 27 − 14 = 13 Therefore, the numbers are 13 and 14.
x2 + 2x - 13 = 2 x2 + 2x - 15 = 0 (x + 5)(x - 3) = 0 x + 5 = 0 and x - 3 = 0 so x = -5 and x = 3