Write the following equation in the form ax2 + bx + c = 0, then write the values of a, b, c for the equation. 2y = 10 – y2

2y = 10 – y2 \[\Rightarrow y^2 + 2y = 10\] \[ \Rightarrow y^2 + 2y - 10 = 0\] So, it is of the form ax2 + bx + c = 0 where a = 1, b = 2 and c = −10.

Write the Following Equations in the Form Ax2 + Bx + C = 0, Then Write the Values Of A, B, C for Each Equation. 2y = 10 – Y2 - Algebra

Question

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

2y = 10 – y²

Sum

Solution

2y = 10 – y²

$\Rightarrow y^{2} + 2 y = 10$

$\Rightarrow y^{2} + 2 y - 10 = 0$

So, it is of the form ax² + bx + c = 0 where a = 1, b = 2 and c = −10.

shaalaa.com

Quadratic Equations

Is there an error in this question or solution?

APPEARS IN

Balbharati Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board

Chapter 2 Quadratic Equations
Practice Set 2.1 | Q 3.1 | Page 34

2022-2023 (March) Official (with solutions)

Q 2.B.ii | 2 marks

Video TutorialsVIEW ALL [5]

view
Video Tutorials For All Subjects
Quadratic Equations

video tutorial00:06:43
Quadratic Equations

video tutorial00:10:08
Quadratic Equations

video tutorial00:17:19
Quadratic Equations

video tutorial00:14:09
Quadratic Equations

video tutorial01:12:00

RELATED QUESTIONS

Represent the following situation in the form of a quadratic equation:

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.

If the equation (1 + m²) x² + 2mcx + c² – a² = 0 has equal roots then show that c² = a² (1 + m²)

Solve the following equation and calculate the answer correct to two decimal places:

x² – 5x – 10 = 0.

Check whether the following is quadratic equation or not.

$x^{2} + \frac{1}{x^{2}} = 5$

Solve $x + \frac{4}{x} = - 4; x \neq 0$

Solve the following equation using the formula:

3x² + 2x – 1 = 0

Which of the following are quadratic equation in x?

${(x + \frac{1}{x})}^{2} = 2 (x + \frac{1}{x}) + 3$

$x^{2} + 3 \sqrt{3} - 30 = 0$

$x^{2} - 2 a x (4 b^{2} - a^{2}) = 0$

$\frac{x + 3}{x - 2} - \frac{1 - x}{x} = \frac{17}{4}$

$\frac{x - 4}{x - 5} + \frac{x - 6}{x - 7} = \frac{31}{3}, x \neq 5, 7$

Solve any two of the following.

Form a quadratic equation whose roots are 4 and -12.

A takes 6 days less than the time taken by B to finish a piece of work. If both A and B work together they can finish in 4 days. Find the time taken by B to finish the work.

Find the value of 'p', if the following quadratic equations have equal roots:

x² + (p − 3)x + p = 0

Solve the quadratic equation 8x² – 14x + 3 = 0

When x ∈ I (integers)
When x ∈ Q (rational numbers)

Which of the following are quadratic equation:
(2x - 3) (x + 5) = 2 - 3x

Solve using the quadratic formula x² – 4x + 1 = 0

Check whether the following are quadratic equations: $x + \frac{2}{x} = x^{2}, x \neq 0$

If $\frac{2}{3}$ is a solution of the equation 7x² + kx – 3 = 0, find the value of k.

Solve the following equation by using formula :

2x² – 7x + 6 = 0

Write the Following Equations in the Form Ax2 + Bx + C = 0, Then Write the Values Of A, B, C for Each Equation. 2y = 10 – Y2 - Algebra

Advertisements

Advertisements

Question

Solution

APPEARS IN

Video TutorialsVIEW ALL [5]

RELATED QUESTIONS

Select a course

Write the Following Equations in the Form Ax2 + Bx + C = 0, Then Write the Values Of A, B, C for Each Equation. 2y = 10 – Y2 - Algebra

Advertisements

Advertisements

Question

SolutionShow Solution

APPEARS IN

Video TutorialsVIEW ALL [5]

RELATED QUESTIONS

Select a course

Solution