SSC (English Medium) इयत्ता १० वी - Maharashtra State Board Question Bank Solutions for Algebra

If `(5sqrt(2) + 3sqrt(3)) - (6sqrt(2) - 7sqrt(3)) = asqrt(2) + bsqrt(3)`, then find a and b.

Find the sum of all odd numbers between 351 and 373.

Solve: 7x² – 30x – 25 = 0

Solve the quadratic equation: 16x² + 24x + 9 = 0.

A wholeseller buys pens having taxable value ₹ 12,000 and sold it to the retailer for the taxable value ₹ 14,000. Rate of GST is 20%. Find the CGST and SGST payable by wholeseller.

Calculate the sum of 35 terms in an AP, whose fourth term is 16 and ninth term is 31.

Solve the quadratic equation 7x² + 9x + 2 = 0 by the quadratic formula.

Find the middle term of the AP. 95, 86, 77, ........, – 247.

Find the sum of all even numbers from 1 to 250.

Sum of 1 to n natural number is 45, then find the value of n.

Solve the following quadratic equation by the formula method:

x² + 10x + 2 = 0

If the first term of an A.P. is p, second term is q and last term is r, then show that sum of all terms is `(q + r - 2p) xx ((p + r))/(2(q - p))`.

In a ‘Mahila Bachat Gat’, Kavita invested from the first day of month ₹ 20 on first day, ₹ 40 on second day and ₹ 60 on third day. If she saves like this, then what would be her total savings in the month of February 2020?

Solve the following quadratic equation by formula method:

3m² − m − 10 = 0

Solve the following quadratic equation by using formula method: 5m² + 5m – 1 = 0

Solve the equation by using the formula method. 3y² +7y + 4 = 0

If the quadratic equation px² − 2√5px + 15 = 0 has two equal roots then find the value of p.

Find the values of k for which the quadratic equation 9x² - 3kx + k = 0 has equal roots.

If -5 is a root of the quadratic equation 2x² + px – 15 = 0 and the quadratic equation p(x² + x)k = 0 has equal roots, find the value of k.

If one root of the quadratic equation is `3 – 2sqrt5` , then write another root of the equation.