Brahmagupta solved a quadratic equation of the form ax2 + bx = c using the formula x =, which involved only one solution. Using Brahmagupta’s method, the solution to the quadratic equation x2 + 7x = 8 would be x = 1. Using modern methods, the first step in solving the quadratic equation x2 + 7x = 8 would be to put it in standard form by . What is the second solution?

Respuesta :

X2+7x-8=0
product=-8 times 1 = -8
sum= 7
{-1, 8}
x2-1x+8x-8=0
x(x-1)+8(x-1)=0
x+8=0 or X-1=0
x=-8

By using the modern method the other solution to the given quadratic equation other than 1 is -8

Method of solving quadratic equation  by factoring

Given the quadratic equation solved by x^2 + 7x = 8. If she solved the equation by factoring hence the method used is as shown:

Given

x^2 + 7x = 8.

Equate to zero

x^2 + 7x -8 = 0

Factorize;

x^2 + 8x - x - 8 = 0
x(x + 8) -1(x + 8) = 0
(x-1)(x+8) = 0
x = 1 and - 8

Hence using the modern method the other solution to the given quadratic equation other than 1 is -8

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