Question

Solve 2x^2 - 5x = 0
By FACTORING

Answer 1

Answer:

Step-by-step explanation:As early as 1200 BC, people were interested in solving quadratic equations. The Babylonians solved simultaneous equations involving quadratics. In 628 AD, Brahmagupta, an Indian mathematician, gave the first explicit formula to solve a quadratic equation. The Quadratic Formula was written as it is today by the Arabic mathematician Al-Khwarizmi. It is his name upon which the word “Algebra” is based.

The solution to any quadratic equation in standard form 0=ax2+bx+c is

x=−b±b2−4ac−−−−−−−√2a

Example: Solve x2+10x+9=0 using the Quadratic Formula.

Solution: We know from the last lesson the answers are x=−1 or x=−9.

By applying the Quadratic Formula and a=1,b=10, and c=9, we get:

xxxxxx=−10±(10)2−4(1)(9)−−−−−−−−−−−−√2(1)=−10±100−36−−−−−−−√2=−10±64−−√2=−10±82=−10+82 or x=−10−82=−1 or x=−9

Example 1: Solve −4x2+x+1=0 using the Quadratic Formula.

Answer 2

2x^2 - 5x = 0

x * (2x - 5) = 0

x = 0, 2x - 5 = 0

2x = 5

x = 5/2

Therefore answer is x = 0, 5/2