Question:

Write the following equations in the form ax2 + bx + c = 0, then write the values of a, b, c for each equation.

(1) 2y = 10 – y2

(2) (x-1)2 = 2x + 3

(3) x2 + 5x = – (3-x)

(4) 3m2 = 2m2 – 9

(5) P (3 + 6p) = – 5

(6) x2 – 9 = 13

 

 

 

 

 

 

Answer:

(1) 2y = 10 – y2

Given
2y = 10 – y2
2y + y2 – 10 = 0
y2 + 2y – 10 = 0;
a = 1, b = 2, c = -10

(2) (x-1)2 = 2x + 3

Solution:

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 1

(3) x2 + 5x = – (3-x)

Solution:

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 2

(4) 3m2 = 2m2 – 9

Solution:

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 3

(5) P (3 + 6p) = – 5

Solution:

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 4

(6) x2 – 9 = 13

Solution:

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 5

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