Solve the inequality 5x^2 + x - 3 = 1

  1. Set the equation equal to 0, which would be 5x^2 +x - 4 = 02) Split the equation into 2 brackets. To do this, one bracket will be (5x+ or - something) and the other will be (x + or - something), as the only two integers that multiply to equal 5 are 1 and 5.3) Next, we need to find two integers that add to make 1x when multiplied by the corresponding values of x and multiply to make negative 4. In this case, that is -4 and 14) Therefore, the brackets are (5x-4) (x+1)5) Remember these are equal to 0, so (5x-4)(x+1)=06) Thus, each bracket equals 0 so 5x=4 and x=-17) x = 0.8 or x=-1
GS
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