25x^2+30x+7=0 solve by formula

Asked by saurabhchaddha4205 | 2nd Jun, 2020, 11:45: AM

Expert Answer:

Given quadratic equation is 25x2+30x+7=0
Here, a=25, b=30 and c=7
Using quadratic formula, we have
x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction
equals fraction numerator negative 30 plus-or-minus square root of left parenthesis 30 right parenthesis squared minus 4 left parenthesis 25 right parenthesis left parenthesis 7 right parenthesis end root over denominator 2 cross times 25 end fraction
equals fraction numerator negative 30 plus-or-minus square root of 900 minus 700 end root over denominator 50 end fraction
equals fraction numerator negative 30 plus-or-minus square root of 200 over denominator 50 end fraction
equals fraction numerator negative 30 plus-or-minus 10 square root of 2 over denominator 50 end fraction
equals fraction numerator negative 3 plus-or-minus square root of 2 over denominator 5 end fraction

Answered by Renu Varma | 2nd Jun, 2020, 01:26: PM