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Answer: second option
Step-by-step explanation:
The standard form of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
Then, to write the quadratic equation given in the problem in standard form, you must substract 1 from both sides of the equation. Then you have:
[tex]2x^2+5x-1=0[/tex]
Given the quadratic equation above, to find the value of [tex]b^2-4ac[/tex] you must substitute:
a=2; b=5 and c=-1 into [tex]b^2-4ac[/tex]
Thenrefore, you obtain the following result:
[tex]5^2-4(2)(-1)=33[/tex]
Answer:
[tex]33[/tex]
Step-by-step explanation:
The given quadratic equation is
[tex]1=2x^2+5x[/tex]
We want to rewrite this equation in the form;
[tex]ax^2+bx+c=0[/tex]
We add [tex]-1[/tex] to both sides of the equation to obtain;
[tex]0=2x^2+5x-1[/tex]
This is the same as
[tex]2x^2+5x-1=0[/tex]
This implies that;
[tex]a=2,b=5,c=-1[/tex]
We substitute these values into the expression [tex]b^2-4ac[/tex]
[tex]\Rightarrow 5^{2}-4(2)(-1)[/tex]
[tex]=25+8[/tex]
[tex]=33[/tex]