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I am suppose to decide all values of b in the following equations that will
\n" ); document.write( "give one or more real number solutions.
\n" ); document.write( "Please help me I am lost?\r
\n" ); document.write( "\n" ); document.write( "Here's one way:
\n" ); document.write( "(a) 3x^2 + bx - 3 = 0
\n" ); document.write( "Write two factors that will satisfy the coefficient of x^2: 3, and -3
\n" ); document.write( "(3x - 1)(x + 3) = 0
\n" ); document.write( "FOIL this and you have:
\n" ); document.write( "3x^2 + 9x - x - 3 = 0
\n" ); document.write( "3x^2 + 8x - 3 = 0; therefore b = +8
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\n" ); document.write( "Follow the same procedure
\n" ); document.write( "(b) 5x^2 + bx + 1 = 0
\n" ); document.write( "(5x + 1)(x+1) = 0
\n" ); document.write( "5x^2 + 5x + 1x + 1 = 0
\n" ); document.write( "5x^2 + 6x + 1 = 0; b = +6
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\n" ); document.write( "(c) -3x^2 + bx - 3 = 0
\n" ); document.write( "(-3x - 1) (x + 3) = 0
\n" ); document.write( "-3x^2 - 9x - 1x - 3 = 0
\n" ); document.write( "-3x^2 - 10x - 3 = 0; b = -10
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\n" ); document.write( "(d) Write a rule for judging if an equation has solutions by looking at it in standard form.
\n" ); document.write( "The standard form ax^2 + bx + c = 0
\n" ); document.write( "Use the discriminant rules: b^2 - 4 * a * c =
\n" ); document.write( "Substitute for a, b, c. If the value is >0, it has real solutions
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\n" ); document.write( "Did this help? \n" ); document.write( "