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To solve the inequality ( x^2 < 9 ), we first rewrite it as ( x^2 - 9 < 0 ), which factors to ( (x - 3)(x + 3) < 0 ). The critical points are ( x = -3 ) and ( x = 3 ). Analyzing the intervals, we find that the solution to the inequality is ( -3 < x < 3 ). Therefore, the values of ( x ) that satisfy the inequality are those in the open interval ( (-3, 3) ).
What else can I help you with?
What are the solutions for the quadratic equation 8x x2 - 9?
If you mean: x2+8x-9 = 0 then the solutions are x = 1 and x = -9
What are 3 solutions for inequality for y9?
Three solutions for inequality in Year 9 math include: Graphing: Plotting the inequality on a graph helps visualize the solution set, showing all the points that satisfy the inequality. Substitution: Testing specific values in the inequality can help determine if they satisfy the condition, providing a practical way to find solutions. Algebraic Manipulation: Rearranging the inequality by isolating the variable can simplify the problem and lead directly to the solution set.
What are the solutions in completing the square x2 plus 6x equals 7?
x2 + 6x = 7 ⇒ x2 + 6x + 9 = 7 + 9 ⇒ (x + 3)2 = 16 ⇒ x + 3 = ±4 ⇒ x = -7 or 1
What are solutions to the equation x2 plus 4x-9 equals 5x plus 3?
x2+4x-9 = 5x+3 x2+4x-5x-9-3 = 0 x2-x-12 = 0 (x+3)(x-4) = 0 x = -3 or x = 4
How do you write a quadratic equation using only solutions 9 and 1?
Solutions: x = 9 and x = 1 Factored: (x-9(x-1) = 0 Equation: x2-10x+9 = 0
Find all integer values of x that make the equation or inequality true x2 equals 9?
that would be limited to 3 and -3 for values of x
What are the solutions for the quadratic equation 8x x2 - 9?
If you mean: x2+8x-9 = 0 then the solutions are x = 1 and x = -9
What are 3 solutions for inequality for y9?
Three solutions for inequality in Year 9 math include: Graphing: Plotting the inequality on a graph helps visualize the solution set, showing all the points that satisfy the inequality. Substitution: Testing specific values in the inequality can help determine if they satisfy the condition, providing a practical way to find solutions. Algebraic Manipulation: Rearranging the inequality by isolating the variable can simplify the problem and lead directly to the solution set.
What are the solutions to the equation x2 equals 81?
x2 = 81 Square root both sides:- x = +/- 9
How can you graph x2 - y2 equals 9?
Therefore x2=9+y2. And x is the square-root of that (with two values plus and minus). Choose a value of y, and work out x2 and therefore the values of x. Plot the two (+ and -) on a graph and continue for more values of y.
X2 plus 6x plus 9 equals 81?
x2 + 6x + 9 = 81 x2 + 6x = 72 x2 + 6x - 72 = 0 (x+12)(x-6) = 0 x= -12, 6 (two solutions)
Is x2-9 a solution or no solution?
To determine if ( x^2 - 9 ) is a solution or no solution, we need more context, such as an equation or inequality to solve. If you are asking if ( x^2 - 9 = 0 ) has solutions, then yes, it does, as it can be factored to ( (x - 3)(x + 3) = 0 ), giving solutions ( x = 3 ) and ( x = -3 ). If you're referring to something else, please provide additional details.
What are the solutions in completing the square x2 plus 6x equals 7?
x2 + 6x = 7 ⇒ x2 + 6x + 9 = 7 + 9 ⇒ (x + 3)2 = 16 ⇒ x + 3 = ±4 ⇒ x = -7 or 1
What are solutions to the equation x2 plus 4x-9 equals 5x plus 3?
x2+4x-9 = 5x+3 x2+4x-5x-9-3 = 0 x2-x-12 = 0 (x+3)(x-4) = 0 x = -3 or x = 4
How do you write a quadratic equation using only solutions 9 and 1?
Solutions: x = 9 and x = 1 Factored: (x-9(x-1) = 0 Equation: x2-10x+9 = 0
What is the product of all integer values ofx for which X2-9 is a prime number?
The answer is -16.
What is the quadratic of this equation x2 plus 11x plus 11 equals 7x plus 9?
x2+11x+11 = 7x+9 x2+11x-7x+11-9 = 0 x2+4x+2 = 0 The above quadratic equation can be solved by using the quadratic equation formula and it will have two solutions.
