The equation is a quadratic equation : x + 5 1 = 2 x + 10 x − 6 Options: A . &nbspTrue B . &nbspFalse C . &nbsp-2, 0 D . &nbsp± 2

Answer: Option A : A x + 5 1 = 2 x + 10 x − 6 ⇒ (x + 5)(x - 6) = 2x + 10 ⇒ x 2 − 6 x + 5 x − 30 = 2 x + 10 ⇒ x 2 − 3 x − 40 = 0 is ofthe form of a x 2 + b x + c Hence, is a quadratic equation.

The equation is a quadratic equation : x+51=2x+10x−6

Question

The equation is a quadratic equation :

\frac{x + 5}{1} = \frac{2 x + 10}{x - 6}

Options:

A . True

B . False

C . -2, 0

D . ± 2

Answer: Option A
:
A

\frac{x + 5}{1} = \frac{2 x + 10}{x - 6}

\Rightarrow

(x + 5)(x - 6) = 2x + 10

\Rightarrow x^{2} - 6 x + 5 x - 30 = 2 x + 10

\Rightarrow x^{2} - 3 x - 40 = 0

is ofthe form of

a x^{2} + b x + c

Hence, is a quadratic equation.

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. Find the two consecutive positive integers, such that the sum of their squares is 365.....

Question 2. A can do a piece of work in x days and B can do the same work in x+16 days. If both working together can do it in 15 day....do it in 15 days, find the value of x.

Question 3. The product of 2 consecutive natural numbers is 72. Find the numbers.....

Question 4. Solve for x if 4(2x+3)2−(2x+3)−14=0.....

Question 5. If the equation x2+2(k+2)x+9=0 has equal roots, then find the values of k.....

Question 6. If the equation x2+2(k+2)x+9k=0 has equal roots, then values of k are __________.....

Question 7. Using the method of completion of squares find one of the roots of the equation 2x2−7x+3=0. Also, find the equati....Also, find the equation obtained after completion of the square.

Question 8. If one root of the equation 2x2+ax+6=0 is 3, then the value of a is ___________.....

Question 9. If one root of the quadratic equation 2x2+ax−6=0 is 2, find the value of a.....

Question 10. If the two equations x2−cx+d=0 and x2−ax+b=0 have one common root and the second has equal....one common root and the second has equal roots, then 2(b+d)=)

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers