# Math Problems

Improvises development of students' readiness to solve problems and construct proofs. Topics selected from: quadratic equations counting, recurrence, induction; number theory; graph theory; parity, symmetry; geometry can be done in math problems. We have covered some problems on geometry and quadratic equations in this page.

## How to do Math Problems

Below you could see some problems

**Example 1:**Find the value of k if the lines are perpendicular y = kx + 6 and y =

$\frac{1}{3x}$ - 7.

Solution: The condition for perpendicular lines is m

_{1}m

_{2} = -1

So here m

_{1}= k m

_{2 }=

$\frac{1}{3}$Therefore

$\frac{k}{3}$ = -1

k= -3.

**Example 2:**Find the value of k if the lines are parallel given equations are y= 3x - 7 and y = kx - 5

Solution: The slopes are equal in parallel lines so m

_{1 }= m

_{2}K = 3.

_{}
## Practice Math Problems

We have given few questions to do yourself

### Practice Problems

**Question 1: **Find the value of x in the equation (x - 3)^{2} + 16 = 20.

**Question 2: **If the sum of x and x - 8 is 17. Find the value of x.

**Question 3: **If the roots of the equation are given by 3 and -6 then find the quadratic equation.

**Question 4: **Complete by square method x^{2}- 4x + 6 = 0.