quadratic inequality ​

Answer:A quadratic inequality is a type of inequality that contains a quadratic expression. A quadratic expression is an expression that has a degree of two. Here is an example of a quadratic inequality:
x^2 + 2x - 3 > 0 To solve a quadratic inequality, you need to: 1. Factor the quadratic expression.2. Find the zeros of the quadratic expression.3. Plot the zeros on a number line.4. Test a value in each interval to determine if the interval is a solution or not. For example, to solve the inequality  x^2 + 2x - 3 > 0 , you can follow these steps: 1. Factor the quadratic expression:
(x + 3)(x - 1) > 0 2. Find the zeros of the quadratic expression:
x = -3, x = 1 3. Plot the zeros on a number line:
-3 1 4. Test a value in each interval to determine if the interval is a solution or not. - Interval 1: x < -3Test x = -4:
(-4 + 3)(-4 - 1) = 5 > 0  Therefore, the interval x < -3 is a solution. - Interval 2: -3 < x < 1Test x = 0: plaintext
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(0 + 3)(0 - 1) = -3 < 0  Therefore, the interval -3 < x < 1 is not a solution. - Interval 3: x > 1Test x = 2: plaintext
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(2 + 3)(2 - 1) = 5 > 0  Therefore, the interval x > 1 is a solution. Therefore, the solution to the quadratic inequality  x^2 + 2x - 3 > 0  is: plaintext
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x < -3 or x > 1  Solving quadratic inequalities is an important skill in algebra. It can be used to solve problems in various fields, such as physics, engineering, and economics. Hope you understand it ∆√

Answered by Trishaqyutk | 2024-09-01