To solve a quadratic equation, you need to factorize, use the quadratic formula, and find the values of the variables that make the equation true. Get here the NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations. Factoring is the method, we try to rewrite the quadratic equation in the form (x – a)(x – b) = 0, where a and b are the solutions to the equation. we can then solve for a and b by setting each factor equal to zero and solving for x.
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Represent the situations in the form of quadratic equations : The area of a rectangular plot is 528 m². The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.
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Let, the breadth of plot = x m
Therefore, the length of plot 2x + 1 m
Hence, area = x(2x + 1) m²
According to the questions, x(2x + 1) = 528
⇒ 2x² + x = 528
⇒ 2x² + x – 528 = 0
Hence, the length and breath of the plot satisfies the equation 2x² + x – 528 = 0.