document.write( "Question 177462: This is one question with two parts
\n" ); document.write( "For the following equation, state the value of the discriminant and then describe the nature of the solutions.
\n" ); document.write( "6x^2+4x-3=0
\n" ); document.write( "What is the value of the discriminant?
\n" ); document.write( "Which one of the statements below is correct?
\n" ); document.write( "a. The equation has one real solution.
\n" ); document.write( "b. The equation has two imaginary solutions.
\n" ); document.write( "c. The equation has two real solutions.
\n" ); document.write( "please help thank you \n" ); document.write( "

Algebra.Com's Answer #132502 by solver91311(24713) $\"\"$ $\"About$

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Your equation is in the form $\"ax%5E2+%2B+bx+%2B+c+=+0\"$ , where $\"a+=+6\"$ , $\"b+=+4\"$ , and $\"c+=+-3\"$ . The discriminant is the part of the quadratic formula ( $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29+\"$ ) that is under the radical, namely $\"DELTA+=+b%5E2-4ac\"$ . Just plug in the values and do the arithmetic.\r
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\n" ); document.write( "\n" ); document.write( " $\"DELTA+%3E+0\"$ means that you have two distinct real number roots. (Your answer C)\r
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\n" ); document.write( "\n" ); document.write( " $\"DELTA+=+0\"$ means that you have two identical real number roots. Alternatively, it can be said that you have one real number root with a multiplicity of 2. (Your answer A)\r
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\n" ); document.write( "\n" ); document.write( " $\"DELTA+%3C+0\"$ means that you have a conjugate pair of complex roots of the form $\"a%2B-bi\"$ where $\"i\"$ is the imaginary number defined by $\"i%5E2=-1\"$ (Your answer B) \n" ); document.write( "

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