Solving a Quadratic Equation
MathematicsQuadratic EquationsEasy
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Question
5.. $2x^2 + 5x - 3 = 0$
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Step 1
Hi Nenita, let's solve this quadratic equation together.
Solving the Quadratic Equation
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Step 2
We have two x squared plus five x minus three equals zero. We can solve this by factoring.
$$2x^2 + 5x - 3 = 0$$
We look for two numbers that multiply to two times negative three, which is negative six, and add up to five.
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Step 3
Those two numbers are six and negative one. So, we rewrite the middle term, five x, as six x minus x.
$$2x^2 + 6x - x - 3 = 0$$
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Step 4
Now we group the terms and factor by grouping.
$$2x(x + 3) - 1(x + 3) = 0$$
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