Question
Solve the following quadratic equation by using formula method:
$3 x^2+8 x+3=0$
$3 x^2+8 x+3=0$
✓
Answer
$\frac{-4+\sqrt{7}}{3}$ and $\frac{-4-\sqrt{7}}{3}$
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Similar questions
The circumferences of circular faces of a frustum are 132 cm and 88 cm and its height is 24 cm. To find the curved surface area of the frustum complete the following activity.$\left(\pi=\frac{22}{7}\right)$
Circumference $_1=2 \pi r_1=132$
$r_1=\frac{132}{2 \pi}=\square$
Circumference $_2=2 \pi \mathrm{r}_2=88$
$r_2=\frac{88}{2 \pi}=\square$
Slant height of frustum, $l=\sqrt{h^2+\left(r_1-r_2\right)^2}$
$=\sqrt{\square \square^2+\square^2}$
$=\square c m$
Curved Surface area of frustum $=\pi\left(r_1+r_2\right)$ l
$=\pi \times \square \times \square$
$=\square \text { sq. } \mathrm{cm}$
→Circumference $_1=2 \pi r_1=132$
$r_1=\frac{132}{2 \pi}=\square$
Circumference $_2=2 \pi \mathrm{r}_2=88$
$r_2=\frac{88}{2 \pi}=\square$
Slant height of frustum, $l=\sqrt{h^2+\left(r_1-r_2\right)^2}$
$=\sqrt{\square \square^2+\square^2}$
$=\square c m$
Curved Surface area of frustum $=\pi\left(r_1+r_2\right)$ l
$=\pi \times \square \times \square$
$=\square \text { sq. } \mathrm{cm}$
Show that the progressions given below is an AP. Find the first term, common difference and next term.
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→$-1,\frac{-5}{6},\frac{-2}{3},\frac{-1}{2},....$
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$\sin\Big(\frac{\text{B+C}}{2}\Big)=\cos\frac{\text{ A}}{2}$
→$\sin\Big(\frac{\text{B+C}}{2}\Big)=\cos\frac{\text{ A}}{2}$
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→$x^2+4 x+4=0$
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Condition for event A : To get head and an odd number.
Condition for event B : To get a head or tail and an even number.
Condition for event C : Number on the upper face is greater than 7 and tail on the coin.
One coin and one die are thrown simultaneously.
Condition for event A : To get head and an odd number.
Condition for event B : To get a head or tail and an even number.
Condition for event C : Number on the upper face is greater than 7 and tail on the coin.
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$g(t) = t^2 - 3, f(t) = 2t^4 + 3t^3 - 2t^2 - 9t - 12.$
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(2x + 3)(3x - 7) = 0
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