Question

solve the following quadratic question by completing the square method. 5x^2 = 4x + 7​

Answer 1

Answer:

Step-by-step explanation:

Given Quadratic equation is

5x² = 4x + 7

=> 5x² - 4x = 7

Divide each term with 5 , we get

x² - ( 4/5 ) x = 7/5

=> x² - 2 × x × ( 2/5 ) = 7/5

=> x²-2(x)(2/5)+(2/5)² = 7/5+(2/5)²

=> ( x - 2/5 )² = 7/5 + 4/25

=> ( x - 2/5 )² = ( 35 + 4 )/25

=> ( x - 2/5 )² = 39/25

=> x - 2/5 = ± √(39/25)

=> x = 2/5 ± √39/5

=> x = ( 2 ± √39 )/5

Therefore ,

x = ( 2 + √39)/5

Or

x = ( 2 - √39 )/5

Answer 2

Step-by-step explanation:

5x2=4x+7

5x2−4x=7

x2−54x=57

x2−54x+254=57+254

x2−2(52)x+(52)2=2539

(x−52)2=2539

x−52=±2539

x=52±5