Solve the equation: 2x^{2}-x-3=0

generals336

generals336

Answered question

2021-09-26

Solve the equation: 2x2x3=0

Answer & Explanation

mhalmantus

mhalmantus

Skilled2021-09-27Added 105 answers

Step 1
The quadratic x2+ax+bx+a+b can be factored as (x+a)(x+b). The solutions to the factored quadratic (x+a)(x+b)=0 are x=−a,−b.
For a quadratic equation ax2+bx+c=0 the quadratic formula gives the solutions to be b±b24ac2a. Use either the quadratic formula or factor the quadratic to find the solution.
Step 2
Given equation is : 2x2x3=0. Use −1=−3+2 to factor the quadratic equation.
2x2x3=0
2x2+2x3x3=0
2x(x+1)-3(x+1)=0
(2x-3)(x+1)=0
x=32,1
Hence, solution to given equation are x=-1, 32.

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