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Brahmagupta an ancient Indian Mathematician A. Later Sridharacharya A. An Arab mathematician Al-khwarizni about A. It is believed that Babylonians were the first to solve quadratic equations. Greek mathematician Euclid developed a geometrical approach for finding lengths, which are nothing but solutions of quadratic equations. Hence, the given equation is a quadratic equation. For any educational help, you may contact us without any hesitation. We will try to help you as soon as possible.
How a quadratic polynomial is different from a quadratic equation? What is meant by zeros of a quadratic equation? It goes 30 km upstream and returns back at the same point in 4 hours 30 minutes. Find the speed of the stream. Represent the following situation in the form of quadratic equation: The product of two consecutive positive integers is We need to find the integers.
For each graph given, write an inequation taking x as the variable:. For the following inequations, graph the solution set on the real number line:. The solution set on the real number line is:. Represent the solution of each of the following inequalities on the real number line:. The solution on number line is as follows:. The solution on number line is:. Thus, the solution Ch 10 Maths Class 10 Examples Youtube can be represented on a number line as:. List the elements of the solution set of the inequation.
Since, x N. Find the range of values of x which satisfies. Graph these values of x on the number line. The required graph of the solution set is:. Find the values of x, which satisfy the inequation :. Graph the solution on the number line. The solution on number line is given by. The required graph is:. Thus, 3 x 4. Solve the following inequation and graph the solution set on the number line:.
The solution set can be graphed on the number line as:. Solve and graph the solution set of:. The required graph on number line is:. Thus, the graph of the solution set is:. The diagram represents two inequations A and B on real number lines:. It can be represented on number line as:. Use real number line to find the range of values of x for Ch 9 Maths Class 10 Examples List which:.
Both the given inequations are true in the range where their graphs on the real number lines overlap. The graphs of the given inequations can be drawn as:. From both graphs, it is clear that their common range is.
Thus, the required graph is:. Represent on different number lines:. It can be represented on a number line as:. Find the range of values of x, which satisfy:. Graph, in each of the following cases, the values of x on the different real number lines:. Represent A and B on two different number lines. Write down the elements of A B. It can be represented on number line as follows:.
Since x I, the solution set is. And the number line representation is. Given that x I, solve the inequation and graph the solution on the number line:. It can be graphed on number line as:. Find the range of set A B and represent it on number line. Find the set of values of x, satisfying:. Since, x is a positive odd integer. Since, x is a positive even integer. Graph the solution set on the number line. Since, x W. The solution set can be represented on number line as:.
Find three consecutive largest positive integers such that the sum of one-third of first, one-fourth of second and one-fifth of third is atmost According to the given statement,.
Thus, the largest value of the positive integer x is Hence, the required integers are 24, 25 and Solve the given inequation and graph the solution on the number line. The graph of the given equation can be represented on a number line as:. Since, z R. Solve the following inequation and represent the solution set on the number line. The solution set can be represented on a number line as:. Solve the following inequation and represent the solution set on the number line:.
Consider the given inequation:. Solve the following in equation, write the solution set and represent it on the number line:. Solve the following in equation and write the solution set:.
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