Question
Solve the following equations using the formula
$2 x^2+7 x+5=0$
$2 x^2+7 x+5=0$
✓
Answer
$2 x^2+7 x+5=0$
Here a = 2, b = 7 and c = 5
Then $x=\frac{-b \pm \sqrt{b^2-4 a c}}{2(a)}$
$=\frac{-(7) \pm \sqrt{(7)^2-4(2)(5)}}{2(2)}$
$=\frac{-7 \pm 3}{4}=\frac{-7+3}{4}$
and $\frac{-7-3}{4}$
$=-1$ and $-\frac{5}{2}$
Here a = 2, b = 7 and c = 5
Then $x=\frac{-b \pm \sqrt{b^2-4 a c}}{2(a)}$
$=\frac{-(7) \pm \sqrt{(7)^2-4(2)(5)}}{2(2)}$
$=\frac{-7 \pm 3}{4}=\frac{-7+3}{4}$
and $\frac{-7-3}{4}$
$=-1$ and $-\frac{5}{2}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the common difference of an A.P. whose first term is 5 and the sum of first four terms is half the sum of next four terms.
How much should a man invest in Rs. 50 shares selling at Rs. 60 to obtain an income of Rs. 450, if the rate of dividend declared is 10%. Also find his yield percent, to the nearest whole number.
A man's monthly inoome is Rs 5,000. He saves every month a minimum of R~ 800. Find the ratio of his:
Annual expenses to annual Income.
Annual expenses to annual Income.
Prove the following identity:
$
\operatorname{cosec}{ }^4 A-\operatorname{cosec} c^2 A=\cot ^4 A+\cot ^2 A
$
→$
\operatorname{cosec}{ }^4 A-\operatorname{cosec} c^2 A=\cot ^4 A+\cot ^2 A
$
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
In the given figure, ABCD is a cyclic quadrilateral, PQ is tangent to the circle at point C and BD is its diameter. If ∠DCQ = 40° and ∠ABD = 60°, find;
(i) ∠DBC (ii) ∠BCP (iii) ∠ADB
(i) ∠DBC (ii) ∠BCP (iii) ∠ADB
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 25,000 for 3 years at 8 % p.a.
Rs 25,000 for 3 years at 8 % p.a.
In a musical chairs game, a person has been advised to stop playing the music at any time within 40 seconds after its start. What is the probability that the music will stop within the first 15 seconds?
Solve the following quadratic equation using formula method only
$4x^2 + 12x + 9 = 0$
→$4x^2 + 12x + 9 = 0$
QUESIION When divided by $x-3$ the polynomials $x^2-p x^2+x+6$ and $2 x^3-x^2-(p+3) x-6$ leave the same remainder. Find the value of ' $p$ '
→