Teachoo provides the best content available! It is believed that Babylonians were the first to solve quadratic equations. If you liked the video, please subscribe to our YouTube channel so that you can get more such interesting and useful study resources. \(\begin{array}{l}{\text { (ii) } \quad x^{2}-2 x=(-2)(3-x) \Rightarrow x^{2}-2 x=-6+2 x \Rightarrow x^{2}-4 x+6=0} \\ {\text { It is of the form } a x^{2}+b x+c=0 \text { . }} 7. After you have studied lesson, you must be looking for answers of its questions. Find the two numbers. We need to find the integers. If you are a student of Class 10 who is using NCERT Textbook to study Maths, then you must come across Chapter 4 … \\ {\text { Therefore, } x(27-x)=182}\end{array}\) \(\begin{aligned}(v) & 100 x^{2}-20 x+1 \\ &=100 x^{2}-10 x-10 x+1 \\ &=10 x(10 x-1)-1(10 x-1) \\ &=(10 x-1)^{2} \end{aligned}\) Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. If the difference of their perimeters is 24 m, find the sides of the two squares. Sorry!, This page is not available for now to bookmark. \\ {\text { (vii) } \quad(x+2)^{3}=2 x\left(x^{2}-1\right) \Rightarrow x^{3}+8+6 x^{2}+12 x=2 x^{3}-2 x \Rightarrow x^{3}-14 x-6 x^{2}-8=0} \\ {\text { not of the form } a x^{2}+b x+c=0 \text { . }} \\ {\text { Hence, the given equation is a quadratic equation. Negative value is not considered for speed hence the answer is 40km/hr. \(\begin{array}{l}{\text { (viii) } x^{3}-4 x^{3}-x+1=(x-2)^{3} \Rightarrow x^{3}-4 x^{2}-x+1=x^{3}-8-6 x^{2}+12 x \Rightarrow 2 x^{2}-13 x+9=0} \\ {\text { It is of the form } a x^{2}+b x+c=0} \\ {\text { Hence, the given equation is a quadratic equation. We need to find the length and breadth of the plot. Explanation: Let x km/hr be the speed of train. NCERT Solutions Class 10 Maths Chapter 4 Quadratic Equations – Here are all the Class 10 Maths Chapter 4 Quadratic Equations NCERT Solutions. These are (i) Factor Method (ii) Completing the square method and (iii) Using the Quadratic Formula. Here you can get complete NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations in one place. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. It has all the questions with Important Questions also marked. NCERT Solutions for Class 10 Maths Chapter 4 is the continuation of the chapter Polynomial. Solving these multiple-choice questions will help students to score good marks in the board exams, which they can verify with the help of detailed explanations given here. \\ {\text { Hence, his mother's age }=x+26} \\ {3 \text { years hence, }} \\ {\text { Rohan's age }=x+3} \\ {\text { Mother's age }=x+26+3=x+29} \\ {\text { It is given that the product of their ages after } 3 \text { years is } 360 \text { . }} The difference of squares of two numbers is 180. NCERT Solutions for class 10 Maths Chapter 4 are given below in PDF form or view online. \\ {\text { The refore, number of Jivanti's marble }=45-x} \\ {\text { After losing } 5 \text { marbles, }} \\ {\text { Number of John's marbles = } x-5} \\ {\text { Number of Jivanti's marbles = } 45-x-5=40-x} \\ {\text { It is given that the product of their marbles is } 124 . Uttar Pradesh students also can download UP Board Solutions for Class 10 Maths Chapter 4 here in Hindi Medium. Students should go for Vedic Maths to improve calculations. Did you find NCERT Solutions Class 10 Maths chapter 4 Quadratic Equations helpful? NCERT Class 10 Maths Chapter 4 Books will give you authentic information and you can rely on them during your preparation.