Question
Form the quadratic equation if its roots are
$\frac{1}{2}$ and $\frac{-3}{4}$
$\frac{1}{2}$ and $\frac{-3}{4}$
✓
Answer
$8 x^2+2 x-3=0$
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
The sum of a numerator and denominator of a fraction is 18. If the denominator is increased by 2, the fraction reduces to $\frac{1}{3}.$ Find the fraction.
→Prashant bought 50 shares of FV Rs. 100, having MV Rs. 180. Company gave 40% dividend on the shares. Find the rate of return on investment.
In figure 3.81, seg EF is a diameter and seg DF is a tangent segment. The radius of the circle is r. Prove that, $\mathrm{DE} \times \mathrm{GE}=4 \mathrm{r}^2$
→A washing tub in the shape of a frustum of a cone has height 21 cm. The radii of the circular top and bottom are 20 cm and 15 cm respectively. What is the capacity of the tub? $\left(\pi=\frac{22}{7}\right)$
→Prove that $\sqrt{\frac{1+\cos A}{1}}=\operatorname{cosec} A+\cot A$
→Using Euclid's algortihm, find the HCF of:
405 and 2520
405 and 2520
Split 69 in three parts such that they are in A.P. and product of two smaller parts is 483.
Two poles of heights 18 metre and 7 metre are erected on a ground. The length of the wire fastened at their tops in 22 metre. Find the angle made by the wire with the horizontal.
In the following, determine whether the given quadratic equation have real root and if so, find the root:
$2\text{x}^2+5\sqrt{3}\text{x}+6=0$
→$2\text{x}^2+5\sqrt{3}\text{x}+6=0$
Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere?